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Finding the Fourth Proportional to 4,609.53, 6,915.78 and 2,144.30

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Solution

The fourth proportional to 4,609.53, 6,915.78 and 2,144.30 is: 3,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.53 : 6,915.78 = 2,144.30 : x
  2. Step 2: Convert to fraction form
    4,609.53/6,915.78 = 2,144.30/x
  3. Step 3: Cross multiply
    4,609.53x = 6,915.78 × 2,144.30
  4. Step 4: Simplify right side
    4,609.53x = 14,829,472.48
  5. Step 5: Solve for x
    x = 14,829,472.48/4,609.53
  6. Step 6: Final answer
    x = 3,217.13

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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.