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Finding the Fourth Proportional to 5,881.52, 8,116.60 and 3,229.18

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Solution

The fourth proportional to 5,881.52, 8,116.60 and 3,229.18 is: 4,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.52 : 8,116.60 = 3,229.18 : x
  2. Step 2: Convert to fraction form
    5,881.52/8,116.60 = 3,229.18/x
  3. Step 3: Cross multiply
    5,881.52x = 8,116.60 × 3,229.18
  4. Step 4: Simplify right side
    5,881.52x = 26,209,962.39
  5. Step 5: Solve for x
    x = 26,209,962.39/5,881.52
  6. Step 6: Final answer
    x = 4,456.32

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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.