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Finding the Fourth Proportional to 6,310.80, 8,706.78 and 3,658.68

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Solution

The fourth proportional to 6,310.80, 8,706.78 and 3,658.68 is: 5,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.80 : 8,706.78 = 3,658.68 : x
  2. Step 2: Convert to fraction form
    6,310.80/8,706.78 = 3,658.68/x
  3. Step 3: Cross multiply
    6,310.80x = 8,706.78 × 3,658.68
  4. Step 4: Simplify right side
    6,310.80x = 31,855,321.85
  5. Step 5: Solve for x
    x = 31,855,321.85/6,310.80
  6. Step 6: Final answer
    x = 5,047.75

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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.