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Finding the Fourth Proportional to 5,988.66, 8,250.84 and 4,414.02

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Solution

The fourth proportional to 5,988.66, 8,250.84 and 4,414.02 is: 6,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,988.66 : 8,250.84 = 4,414.02 : x
  2. Step 2: Convert to fraction form
    5,988.66/8,250.84 = 4,414.02/x
  3. Step 3: Cross multiply
    5,988.66x = 8,250.84 × 4,414.02
  4. Step 4: Simplify right side
    5,988.66x = 36,419,372.78
  5. Step 5: Solve for x
    x = 36,419,372.78/5,988.66
  6. Step 6: Final answer
    x = 6,081.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.