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Finding the Fourth Proportional to 5,414.28, 8,122.04 and 2,952.70

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Solution

The fourth proportional to 5,414.28, 8,122.04 and 2,952.70 is: 4,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.28 : 8,122.04 = 2,952.70 : x
  2. Step 2: Convert to fraction form
    5,414.28/8,122.04 = 2,952.70/x
  3. Step 3: Cross multiply
    5,414.28x = 8,122.04 × 2,952.70
  4. Step 4: Simplify right side
    5,414.28x = 23,981,947.51
  5. Step 5: Solve for x
    x = 23,981,947.51/5,414.28
  6. Step 6: Final answer
    x = 4,429.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.