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Finding the Fourth Proportional to 3,423.90, 5,136.22 and 1,114.86

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Solution

The fourth proportional to 3,423.90, 5,136.22 and 1,114.86 is: 1,672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.90 : 5,136.22 = 1,114.86 : x
  2. Step 2: Convert to fraction form
    3,423.90/5,136.22 = 1,114.86/x
  3. Step 3: Cross multiply
    3,423.90x = 5,136.22 × 1,114.86
  4. Step 4: Simplify right side
    3,423.90x = 5,726,166.23
  5. Step 5: Solve for x
    x = 5,726,166.23/3,423.90
  6. Step 6: Final answer
    x = 1,672.41

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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.