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Finding the Fourth Proportional to 5,881.84, 8,117.13 and 3,229.40

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Solution

The fourth proportional to 5,881.84, 8,117.13 and 3,229.40 is: 4,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.84 : 8,117.13 = 3,229.40 : x
  2. Step 2: Convert to fraction form
    5,881.84/8,117.13 = 3,229.40/x
  3. Step 3: Cross multiply
    5,881.84x = 8,117.13 × 3,229.40
  4. Step 4: Simplify right side
    5,881.84x = 26,213,459.62
  5. Step 5: Solve for x
    x = 26,213,459.62/5,881.84
  6. Step 6: Final answer
    x = 4,456.68

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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.