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Finding the Fourth Proportional to 3,718.53, 5,578.13 and 2,654.41

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Solution

The fourth proportional to 3,718.53, 5,578.13 and 2,654.41 is: 3,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.53 : 5,578.13 = 2,654.41 : x
  2. Step 2: Convert to fraction form
    3,718.53/5,578.13 = 2,654.41/x
  3. Step 3: Cross multiply
    3,718.53x = 5,578.13 × 2,654.41
  4. Step 4: Simplify right side
    3,718.53x = 14,806,644.05
  5. Step 5: Solve for x
    x = 14,806,644.05/3,718.53
  6. Step 6: Final answer
    x = 3,981.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.