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Finding the Fourth Proportional to 3,468.31, 4,784.89 and 2,139.70

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Solution

The fourth proportional to 3,468.31, 4,784.89 and 2,139.70 is: 2,951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.31 : 4,784.89 = 2,139.70 : x
  2. Step 2: Convert to fraction form
    3,468.31/4,784.89 = 2,139.70/x
  3. Step 3: Cross multiply
    3,468.31x = 4,784.89 × 2,139.70
  4. Step 4: Simplify right side
    3,468.31x = 10,238,229.13
  5. Step 5: Solve for x
    x = 10,238,229.13/3,468.31
  6. Step 6: Final answer
    x = 2,951.94

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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.