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Finding the Fourth Proportional to 4,139.70, 5,712.84 and 2,251.30

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Solution

The fourth proportional to 4,139.70, 5,712.84 and 2,251.30 is: 3,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.70 : 5,712.84 = 2,251.30 : x
  2. Step 2: Convert to fraction form
    4,139.70/5,712.84 = 2,251.30/x
  3. Step 3: Cross multiply
    4,139.70x = 5,712.84 × 2,251.30
  4. Step 4: Simplify right side
    4,139.70x = 12,861,316.69
  5. Step 5: Solve for x
    x = 12,861,316.69/4,139.70
  6. Step 6: Final answer
    x = 3,106.82

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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.