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Finding the Fourth Proportional to 6,314.26, 8,710.10 and 3,952.30

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Solution

The fourth proportional to 6,314.26, 8,710.10 and 3,952.30 is: 5,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.26 : 8,710.10 = 3,952.30 : x
  2. Step 2: Convert to fraction form
    6,314.26/8,710.10 = 3,952.30/x
  3. Step 3: Cross multiply
    6,314.26x = 8,710.10 × 3,952.30
  4. Step 4: Simplify right side
    6,314.26x = 34,424,884.68
  5. Step 5: Solve for x
    x = 34,424,884.68/6,314.26
  6. Step 6: Final answer
    x = 5,451.93

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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.