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Finding the Fourth Proportional to 5,885.74, 8,121.87 and 3,233.32

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Solution

The fourth proportional to 5,885.74, 8,121.87 and 3,233.32 is: 4,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.74 : 8,121.87 = 3,233.32 : x
  2. Step 2: Convert to fraction form
    5,885.74/8,121.87 = 3,233.32/x
  3. Step 3: Cross multiply
    5,885.74x = 8,121.87 × 3,233.32
  4. Step 4: Simplify right side
    5,885.74x = 26,260,604.71
  5. Step 5: Solve for x
    x = 26,260,604.71/5,885.74
  6. Step 6: Final answer
    x = 4,461.73

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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.