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Finding the Fourth Proportional to 3,424.01, 5,136.78 and 1,084.15

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Solution

The fourth proportional to 3,424.01, 5,136.78 and 1,084.15 is: 1,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.01 : 5,136.78 = 1,084.15 : x
  2. Step 2: Convert to fraction form
    3,424.01/5,136.78 = 1,084.15/x
  3. Step 3: Cross multiply
    3,424.01x = 5,136.78 × 1,084.15
  4. Step 4: Simplify right side
    3,424.01x = 5,569,052.88
  5. Step 5: Solve for x
    x = 5,569,052.88/3,424.01
  6. Step 6: Final answer
    x = 1,626.47

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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.