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Finding the Fourth Proportional to 5,397.41, 8,080.74 and 4,868.43

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Solution

The fourth proportional to 5,397.41, 8,080.74 and 4,868.43 is: 7,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.41 : 8,080.74 = 4,868.43 : x
  2. Step 2: Convert to fraction form
    5,397.41/8,080.74 = 4,868.43/x
  3. Step 3: Cross multiply
    5,397.41x = 8,080.74 × 4,868.43
  4. Step 4: Simplify right side
    5,397.41x = 39,340,517.04
  5. Step 5: Solve for x
    x = 39,340,517.04/5,397.41
  6. Step 6: Final answer
    x = 7,288.78

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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.