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Finding the Fourth Proportional to 5,662.24, 7,810.84 and 3,424.84

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Solution

The fourth proportional to 5,662.24, 7,810.84 and 3,424.84 is: 4,724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.24 : 7,810.84 = 3,424.84 : x
  2. Step 2: Convert to fraction form
    5,662.24/7,810.84 = 3,424.84/x
  3. Step 3: Cross multiply
    5,662.24x = 7,810.84 × 3,424.84
  4. Step 4: Simplify right side
    5,662.24x = 26,750,877.27
  5. Step 5: Solve for x
    x = 26,750,877.27/5,662.24
  6. Step 6: Final answer
    x = 4,724.43

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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.