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Finding the Fourth Proportional to 3,800.87, 5,730.55 and 3,732.83

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Solution

The fourth proportional to 3,800.87, 5,730.55 and 3,732.83 is: 5,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.87 : 5,730.55 = 3,732.83 : x
  2. Step 2: Convert to fraction form
    3,800.87/5,730.55 = 3,732.83/x
  3. Step 3: Cross multiply
    3,800.87x = 5,730.55 × 3,732.83
  4. Step 4: Simplify right side
    3,800.87x = 21,391,150.29
  5. Step 5: Solve for x
    x = 21,391,150.29/3,800.87
  6. Step 6: Final answer
    x = 5,627.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.