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Finding the Fourth Proportional to 6,157.42, 9,234.72 and 2,458.65

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Solution

The fourth proportional to 6,157.42, 9,234.72 and 2,458.65 is: 3,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.42 : 9,234.72 = 2,458.65 : x
  2. Step 2: Convert to fraction form
    6,157.42/9,234.72 = 2,458.65/x
  3. Step 3: Cross multiply
    6,157.42x = 9,234.72 × 2,458.65
  4. Step 4: Simplify right side
    6,157.42x = 22,704,978.96
  5. Step 5: Solve for x
    x = 22,704,978.96/6,157.42
  6. Step 6: Final answer
    x = 3,687.42

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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.