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Finding the Fourth Proportional to 4,200.59, 5,800.71 and 2,711.09

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Solution

The fourth proportional to 4,200.59, 5,800.71 and 2,711.09 is: 3,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.59 : 5,800.71 = 2,711.09 : x
  2. Step 2: Convert to fraction form
    4,200.59/5,800.71 = 2,711.09/x
  3. Step 3: Cross multiply
    4,200.59x = 5,800.71 × 2,711.09
  4. Step 4: Simplify right side
    4,200.59x = 15,726,246.87
  5. Step 5: Solve for x
    x = 15,726,246.87/4,200.59
  6. Step 6: Final answer
    x = 3,743.82

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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.