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Finding the Fourth Proportional to 3,423.55, 5,136.02 and 1,449.18

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Solution

The fourth proportional to 3,423.55, 5,136.02 and 1,449.18 is: 2,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.55 : 5,136.02 = 1,449.18 : x
  2. Step 2: Convert to fraction form
    3,423.55/5,136.02 = 1,449.18/x
  3. Step 3: Cross multiply
    3,423.55x = 5,136.02 × 1,449.18
  4. Step 4: Simplify right side
    3,423.55x = 7,442,996.39
  5. Step 5: Solve for x
    x = 7,442,996.39/3,423.55
  6. Step 6: Final answer
    x = 2,174.06

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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.