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Finding the Fourth Proportional to 3,865.71, 5,331.39 and 2,689.59

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Solution

The fourth proportional to 3,865.71, 5,331.39 and 2,689.59 is: 3,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.71 : 5,331.39 = 2,689.59 : x
  2. Step 2: Convert to fraction form
    3,865.71/5,331.39 = 2,689.59/x
  3. Step 3: Cross multiply
    3,865.71x = 5,331.39 × 2,689.59
  4. Step 4: Simplify right side
    3,865.71x = 14,339,277.05
  5. Step 5: Solve for x
    x = 14,339,277.05/3,865.71
  6. Step 6: Final answer
    x = 3,709.35

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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.