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Finding the Fourth Proportional to 5,414.90, 8,123.72 and 1,519.31

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Solution

The fourth proportional to 5,414.90, 8,123.72 and 1,519.31 is: 2,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.90 : 8,123.72 = 1,519.31 : x
  2. Step 2: Convert to fraction form
    5,414.90/8,123.72 = 1,519.31/x
  3. Step 3: Cross multiply
    5,414.90x = 8,123.72 × 1,519.31
  4. Step 4: Simplify right side
    5,414.90x = 12,342,400.82
  5. Step 5: Solve for x
    x = 12,342,400.82/5,414.90
  6. Step 6: Final answer
    x = 2,279.34

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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.