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Finding the Fourth Proportional to 3,734.97, 5,601.15 and 1,101.78

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Solution

The fourth proportional to 3,734.97, 5,601.15 and 1,101.78 is: 1,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.97 : 5,601.15 = 1,101.78 : x
  2. Step 2: Convert to fraction form
    3,734.97/5,601.15 = 1,101.78/x
  3. Step 3: Cross multiply
    3,734.97x = 5,601.15 × 1,101.78
  4. Step 4: Simplify right side
    3,734.97x = 6,171,207.04
  5. Step 5: Solve for x
    x = 6,171,207.04/3,734.97
  6. Step 6: Final answer
    x = 1,652.28

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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.