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Finding the Fourth Proportional to 5,766.76, 8,642.02 and 3,297.88

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Solution

The fourth proportional to 5,766.76, 8,642.02 and 3,297.88 is: 4,942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.76 : 8,642.02 = 3,297.88 : x
  2. Step 2: Convert to fraction form
    5,766.76/8,642.02 = 3,297.88/x
  3. Step 3: Cross multiply
    5,766.76x = 8,642.02 × 3,297.88
  4. Step 4: Simplify right side
    5,766.76x = 28,500,344.92
  5. Step 5: Solve for x
    x = 28,500,344.92/5,766.76
  6. Step 6: Final answer
    x = 4,942.18

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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.