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Finding the Fourth Proportional to 5,414.52, 7,471.84 and 3,399

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Solution

The fourth proportional to 5,414.52, 7,471.84 and 3,399 is: 4,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.52 : 7,471.84 = 3,399 : x
  2. Step 2: Convert to fraction form
    5,414.52/7,471.84 = 3,399/x
  3. Step 3: Cross multiply
    5,414.52x = 7,471.84 × 3,399
  4. Step 4: Simplify right side
    5,414.52x = 25,396,784.16
  5. Step 5: Solve for x
    x = 25,396,784.16/5,414.52
  6. Step 6: Final answer
    x = 4,690.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.