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Finding the Fourth Proportional to 5,723.24, 7,888.10 and 5,227.24

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Solution

The fourth proportional to 5,723.24, 7,888.10 and 5,227.24 is: 7,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.24 : 7,888.10 = 5,227.24 : x
  2. Step 2: Convert to fraction form
    5,723.24/7,888.10 = 5,227.24/x
  3. Step 3: Cross multiply
    5,723.24x = 7,888.10 × 5,227.24
  4. Step 4: Simplify right side
    5,723.24x = 41,232,991.84
  5. Step 5: Solve for x
    x = 41,232,991.84/5,723.24
  6. Step 6: Final answer
    x = 7,204.48

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.