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Finding the Fourth Proportional to 5,881.76, 8,116.92 and 3,229.13

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Solution

The fourth proportional to 5,881.76, 8,116.92 and 3,229.13 is: 4,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.76 : 8,116.92 = 3,229.13 : x
  2. Step 2: Convert to fraction form
    5,881.76/8,116.92 = 3,229.13/x
  3. Step 3: Cross multiply
    5,881.76x = 8,116.92 × 3,229.13
  4. Step 4: Simplify right side
    5,881.76x = 26,210,589.88
  5. Step 5: Solve for x
    x = 26,210,589.88/5,881.76
  6. Step 6: Final answer
    x = 4,456.25

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1.5x scale

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.