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Finding the Fourth Proportional to 5,881.64, 8,116.84 and 3,229.22

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Solution

The fourth proportional to 5,881.64, 8,116.84 and 3,229.22 is: 4,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.64 : 8,116.84 = 3,229.22 : x
  2. Step 2: Convert to fraction form
    5,881.64/8,116.84 = 3,229.22/x
  3. Step 3: Cross multiply
    5,881.64x = 8,116.84 × 3,229.22
  4. Step 4: Simplify right side
    5,881.64x = 26,211,062.06
  5. Step 5: Solve for x
    x = 26,211,062.06/5,881.64
  6. Step 6: Final answer
    x = 4,456.42

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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.