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Finding the Fourth Proportional to 6,310.85, 8,710.25 and 4,186.49

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Solution

The fourth proportional to 6,310.85, 8,710.25 and 4,186.49 is: 5,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.85 : 8,710.25 = 4,186.49 : x
  2. Step 2: Convert to fraction form
    6,310.85/8,710.25 = 4,186.49/x
  3. Step 3: Cross multiply
    6,310.85x = 8,710.25 × 4,186.49
  4. Step 4: Simplify right side
    6,310.85x = 36,465,310.04
  5. Step 5: Solve for x
    x = 36,465,310.04/6,310.85
  6. Step 6: Final answer
    x = 5,778.20

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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.