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Finding the Fourth Proportional to 3,757.92, 5,637.52 and 1,160.80

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Solution

The fourth proportional to 3,757.92, 5,637.52 and 1,160.80 is: 1,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.92 : 5,637.52 = 1,160.80 : x
  2. Step 2: Convert to fraction form
    3,757.92/5,637.52 = 1,160.80/x
  3. Step 3: Cross multiply
    3,757.92x = 5,637.52 × 1,160.80
  4. Step 4: Simplify right side
    3,757.92x = 6,544,033.22
  5. Step 5: Solve for x
    x = 6,544,033.22/3,757.92
  6. Step 6: Final answer
    x = 1,741.40

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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.