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Finding the Fourth Proportional to 5,766.79, 8,652.91 and 3,431.41

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Solution

The fourth proportional to 5,766.79, 8,652.91 and 3,431.41 is: 5,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.79 : 8,652.91 = 3,431.41 : x
  2. Step 2: Convert to fraction form
    5,766.79/8,652.91 = 3,431.41/x
  3. Step 3: Cross multiply
    5,766.79x = 8,652.91 × 3,431.41
  4. Step 4: Simplify right side
    5,766.79x = 29,691,630.06
  5. Step 5: Solve for x
    x = 29,691,630.06/5,766.79
  6. Step 6: Final answer
    x = 5,148.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.