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Finding the Fourth Proportional to 3,731.80, 5,597.49 and 1,134.53

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Solution

The fourth proportional to 3,731.80, 5,597.49 and 1,134.53 is: 1,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.80 : 5,597.49 = 1,134.53 : x
  2. Step 2: Convert to fraction form
    3,731.80/5,597.49 = 1,134.53/x
  3. Step 3: Cross multiply
    3,731.80x = 5,597.49 × 1,134.53
  4. Step 4: Simplify right side
    3,731.80x = 6,350,537.16
  5. Step 5: Solve for x
    x = 6,350,537.16/3,731.80
  6. Step 6: Final answer
    x = 1,701.74

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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.