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Finding the Fourth Proportional to 5,414.88, 8,122.65 and 1,519.59

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Solution

The fourth proportional to 5,414.88, 8,122.65 and 1,519.59 is: 2,279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.88 : 8,122.65 = 1,519.59 : x
  2. Step 2: Convert to fraction form
    5,414.88/8,122.65 = 1,519.59/x
  3. Step 3: Cross multiply
    5,414.88x = 8,122.65 × 1,519.59
  4. Step 4: Simplify right side
    5,414.88x = 12,343,097.71
  5. Step 5: Solve for x
    x = 12,343,097.71/5,414.88
  6. Step 6: Final answer
    x = 2,279.48

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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.