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Finding the Fourth Proportional to 3,487.38, 5,200.31 and 3,003.54

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Solution

The fourth proportional to 3,487.38, 5,200.31 and 3,003.54 is: 4,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.38 : 5,200.31 = 3,003.54 : x
  2. Step 2: Convert to fraction form
    3,487.38/5,200.31 = 3,003.54/x
  3. Step 3: Cross multiply
    3,487.38x = 5,200.31 × 3,003.54
  4. Step 4: Simplify right side
    3,487.38x = 15,619,339.10
  5. Step 5: Solve for x
    x = 15,619,339.10/3,487.38
  6. Step 6: Final answer
    x = 4,478.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.