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Finding the Fourth Proportional to 3,454.92, 5,177.52 and 1,503.02

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Solution

The fourth proportional to 3,454.92, 5,177.52 and 1,503.02 is: 2,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.92 : 5,177.52 = 1,503.02 : x
  2. Step 2: Convert to fraction form
    3,454.92/5,177.52 = 1,503.02/x
  3. Step 3: Cross multiply
    3,454.92x = 5,177.52 × 1,503.02
  4. Step 4: Simplify right side
    3,454.92x = 7,781,929.05
  5. Step 5: Solve for x
    x = 7,781,929.05/3,454.92
  6. Step 6: Final answer
    x = 2,252.42

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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.