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Finding the Fourth Proportional to 3,423.76, 5,136.41 and 1,083.90

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Solution

The fourth proportional to 3,423.76, 5,136.41 and 1,083.90 is: 1,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.76 : 5,136.41 = 1,083.90 : x
  2. Step 2: Convert to fraction form
    3,423.76/5,136.41 = 1,083.90/x
  3. Step 3: Cross multiply
    3,423.76x = 5,136.41 × 1,083.90
  4. Step 4: Simplify right side
    3,423.76x = 5,567,355.80
  5. Step 5: Solve for x
    x = 5,567,355.80/3,423.76
  6. Step 6: Final answer
    x = 1,626.10

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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.