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Finding the Fourth Proportional to 6,310.68, 8,708.10 and 3,658.94

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Solution

The fourth proportional to 6,310.68, 8,708.10 and 3,658.94 is: 5,048.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.68 : 8,708.10 = 3,658.94 : x
  2. Step 2: Convert to fraction form
    6,310.68/8,708.10 = 3,658.94/x
  3. Step 3: Cross multiply
    6,310.68x = 8,708.10 × 3,658.94
  4. Step 4: Simplify right side
    6,310.68x = 31,862,415.41
  5. Step 5: Solve for x
    x = 31,862,415.41/6,310.68
  6. Step 6: Final answer
    x = 5,048.97

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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.