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Finding the Fourth Proportional to 3,423.93, 5,136.03 and 1,549.47

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Solution

The fourth proportional to 3,423.93, 5,136.03 and 1,549.47 is: 2,324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.93 : 5,136.03 = 1,549.47 : x
  2. Step 2: Convert to fraction form
    3,423.93/5,136.03 = 1,549.47/x
  3. Step 3: Cross multiply
    3,423.93x = 5,136.03 × 1,549.47
  4. Step 4: Simplify right side
    3,423.93x = 7,958,124.40
  5. Step 5: Solve for x
    x = 7,958,124.40/3,423.93
  6. Step 6: Final answer
    x = 2,324.27

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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.