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Finding the Fourth Proportional to 4,333.59, 6,500.39 and 3,414.04

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Solution

The fourth proportional to 4,333.59, 6,500.39 and 3,414.04 is: 5,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.59 : 6,500.39 = 3,414.04 : x
  2. Step 2: Convert to fraction form
    4,333.59/6,500.39 = 3,414.04/x
  3. Step 3: Cross multiply
    4,333.59x = 6,500.39 × 3,414.04
  4. Step 4: Simplify right side
    4,333.59x = 22,192,558.15
  5. Step 5: Solve for x
    x = 22,192,558.15/4,333.59
  6. Step 6: Final answer
    x = 5,121.06

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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.