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Finding the Fourth Proportional to 5,642.81, 7,786.08 and 3,252.23

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Solution

The fourth proportional to 5,642.81, 7,786.08 and 3,252.23 is: 4,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.81 : 7,786.08 = 3,252.23 : x
  2. Step 2: Convert to fraction form
    5,642.81/7,786.08 = 3,252.23/x
  3. Step 3: Cross multiply
    5,642.81x = 7,786.08 × 3,252.23
  4. Step 4: Simplify right side
    5,642.81x = 25,322,122.96
  5. Step 5: Solve for x
    x = 25,322,122.96/5,642.81
  6. Step 6: Final answer
    x = 4,487.50

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Double scale
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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.