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Finding the Fourth Proportional to 3,423.72, 5,137.17 and 1,084.08

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Solution

The fourth proportional to 3,423.72, 5,137.17 and 1,084.08 is: 1,626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.72 : 5,137.17 = 1,084.08 : x
  2. Step 2: Convert to fraction form
    3,423.72/5,137.17 = 1,084.08/x
  3. Step 3: Cross multiply
    3,423.72x = 5,137.17 × 1,084.08
  4. Step 4: Simplify right side
    3,423.72x = 5,569,124.55
  5. Step 5: Solve for x
    x = 5,569,124.55/3,423.72
  6. Step 6: Final answer
    x = 1,626.63

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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.