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Finding the Fourth Proportional to 5,414.60, 8,129.19 and 3,470.60

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Solution

The fourth proportional to 5,414.60, 8,129.19 and 3,470.60 is: 5,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.60 : 8,129.19 = 3,470.60 : x
  2. Step 2: Convert to fraction form
    5,414.60/8,129.19 = 3,470.60/x
  3. Step 3: Cross multiply
    5,414.60x = 8,129.19 × 3,470.60
  4. Step 4: Simplify right side
    5,414.60x = 28,213,166.81
  5. Step 5: Solve for x
    x = 28,213,166.81/5,414.60
  6. Step 6: Final answer
    x = 5,210.57

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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.