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Finding the Fourth Proportional to 5,414.66, 8,134.95 and 3,470.66

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Solution

The fourth proportional to 5,414.66, 8,134.95 and 3,470.66 is: 5,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.66 : 8,134.95 = 3,470.66 : x
  2. Step 2: Convert to fraction form
    5,414.66/8,134.95 = 3,470.66/x
  3. Step 3: Cross multiply
    5,414.66x = 8,134.95 × 3,470.66
  4. Step 4: Simplify right side
    5,414.66x = 28,233,645.57
  5. Step 5: Solve for x
    x = 28,233,645.57/5,414.66
  6. Step 6: Final answer
    x = 5,214.30

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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.