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Finding the Fourth Proportional to 5,414.76, 8,131.08 and 4,098.56

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Solution

The fourth proportional to 5,414.76, 8,131.08 and 4,098.56 is: 6,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.76 : 8,131.08 = 4,098.56 : x
  2. Step 2: Convert to fraction form
    5,414.76/8,131.08 = 4,098.56/x
  3. Step 3: Cross multiply
    5,414.76x = 8,131.08 × 4,098.56
  4. Step 4: Simplify right side
    5,414.76x = 33,325,719.24
  5. Step 5: Solve for x
    x = 33,325,719.24/5,414.76
  6. Step 6: Final answer
    x = 6,154.61

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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.