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Finding the Fourth Proportional to 5,881.92, 8,117.46 and 3,229.80

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Solution

The fourth proportional to 5,881.92, 8,117.46 and 3,229.80 is: 4,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.92 : 8,117.46 = 3,229.80 : x
  2. Step 2: Convert to fraction form
    5,881.92/8,117.46 = 3,229.80/x
  3. Step 3: Cross multiply
    5,881.92x = 8,117.46 × 3,229.80
  4. Step 4: Simplify right side
    5,881.92x = 26,217,772.31
  5. Step 5: Solve for x
    x = 26,217,772.31/5,881.92
  6. Step 6: Final answer
    x = 4,457.35

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