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Finding the Fourth Proportional to 6,229.58, 9,344.16 and 2,530.71

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Solution

The fourth proportional to 6,229.58, 9,344.16 and 2,530.71 is: 3,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.58 : 9,344.16 = 2,530.71 : x
  2. Step 2: Convert to fraction form
    6,229.58/9,344.16 = 2,530.71/x
  3. Step 3: Cross multiply
    6,229.58x = 9,344.16 × 2,530.71
  4. Step 4: Simplify right side
    6,229.58x = 23,647,359.15
  5. Step 5: Solve for x
    x = 23,647,359.15/6,229.58
  6. Step 6: Final answer
    x = 3,795.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.