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Finding the Fourth Proportional to 4,149.77, 5,732.28 and 3,854.53

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Solution

The fourth proportional to 4,149.77, 5,732.28 and 3,854.53 is: 5,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.77 : 5,732.28 = 3,854.53 : x
  2. Step 2: Convert to fraction form
    4,149.77/5,732.28 = 3,854.53/x
  3. Step 3: Cross multiply
    4,149.77x = 5,732.28 × 3,854.53
  4. Step 4: Simplify right side
    4,149.77x = 22,095,197.29
  5. Step 5: Solve for x
    x = 22,095,197.29/4,149.77
  6. Step 6: Final answer
    x = 5,324.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.