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Finding the Fourth Proportional to 3,423.97, 5,136.59 and 1,084.57

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Solution

The fourth proportional to 3,423.97, 5,136.59 and 1,084.57 is: 1,627.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.97 : 5,136.59 = 1,084.57 : x
  2. Step 2: Convert to fraction form
    3,423.97/5,136.59 = 1,084.57/x
  3. Step 3: Cross multiply
    3,423.97x = 5,136.59 × 1,084.57
  4. Step 4: Simplify right side
    3,423.97x = 5,570,991.42
  5. Step 5: Solve for x
    x = 5,570,991.42/3,423.97
  6. Step 6: Final answer
    x = 1,627.06

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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.