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Finding the Fourth Proportional to 5,885.70, 8,122.20 and 3,233.04

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Solution

The fourth proportional to 5,885.70, 8,122.20 and 3,233.04 is: 4,461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.70 : 8,122.20 = 3,233.04 : x
  2. Step 2: Convert to fraction form
    5,885.70/8,122.20 = 3,233.04/x
  3. Step 3: Cross multiply
    5,885.70x = 8,122.20 × 3,233.04
  4. Step 4: Simplify right side
    5,885.70x = 26,259,397.49
  5. Step 5: Solve for x
    x = 26,259,397.49/5,885.70
  6. Step 6: Final answer
    x = 4,461.56

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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.