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Finding the Fourth Proportional to 3,757.64, 5,636.46 and 1,160.52

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Solution

The fourth proportional to 3,757.64, 5,636.46 and 1,160.52 is: 1,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.64 : 5,636.46 = 1,160.52 : x
  2. Step 2: Convert to fraction form
    3,757.64/5,636.46 = 1,160.52/x
  3. Step 3: Cross multiply
    3,757.64x = 5,636.46 × 1,160.52
  4. Step 4: Simplify right side
    3,757.64x = 6,541,224.56
  5. Step 5: Solve for x
    x = 6,541,224.56/3,757.64
  6. Step 6: Final answer
    x = 1,740.78

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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.