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Finding the Fourth Proportional to 3,644.92, 5,464.82 and 1,862.52

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Solution

The fourth proportional to 3,644.92, 5,464.82 and 1,862.52 is: 2,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.92 : 5,464.82 = 1,862.52 : x
  2. Step 2: Convert to fraction form
    3,644.92/5,464.82 = 1,862.52/x
  3. Step 3: Cross multiply
    3,644.92x = 5,464.82 × 1,862.52
  4. Step 4: Simplify right side
    3,644.92x = 10,178,336.55
  5. Step 5: Solve for x
    x = 10,178,336.55/3,644.92
  6. Step 6: Final answer
    x = 2,792.47

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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.