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Finding the Fourth Proportional to 5,381.97, 8,074.98 and 3,044.61

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Solution

The fourth proportional to 5,381.97, 8,074.98 and 3,044.61 is: 4,568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.97 : 8,074.98 = 3,044.61 : x
  2. Step 2: Convert to fraction form
    5,381.97/8,074.98 = 3,044.61/x
  3. Step 3: Cross multiply
    5,381.97x = 8,074.98 × 3,044.61
  4. Step 4: Simplify right side
    5,381.97x = 24,585,164.86
  5. Step 5: Solve for x
    x = 24,585,164.86/5,381.97
  6. Step 6: Final answer
    x = 4,568.06

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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.