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Finding the Fourth Proportional to 4,057.87, 5,600.19 and 2,289.61

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Solution

The fourth proportional to 4,057.87, 5,600.19 and 2,289.61 is: 3,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.87 : 5,600.19 = 2,289.61 : x
  2. Step 2: Convert to fraction form
    4,057.87/5,600.19 = 2,289.61/x
  3. Step 3: Cross multiply
    4,057.87x = 5,600.19 × 2,289.61
  4. Step 4: Simplify right side
    4,057.87x = 12,822,251.03
  5. Step 5: Solve for x
    x = 12,822,251.03/4,057.87
  6. Step 6: Final answer
    x = 3,159.85

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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.