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Finding the Fourth Proportional to 5,200.28, 7,798.88 and 1,502.55

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Solution

The fourth proportional to 5,200.28, 7,798.88 and 1,502.55 is: 2,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.28 : 7,798.88 = 1,502.55 : x
  2. Step 2: Convert to fraction form
    5,200.28/7,798.88 = 1,502.55/x
  3. Step 3: Cross multiply
    5,200.28x = 7,798.88 × 1,502.55
  4. Step 4: Simplify right side
    5,200.28x = 11,718,171.91
  5. Step 5: Solve for x
    x = 11,718,171.91/5,200.28
  6. Step 6: Final answer
    x = 2,253.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.