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Finding the Fourth Proportional to 6,472.80, 9,704.40 and 2,575.20

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Solution

The fourth proportional to 6,472.80, 9,704.40 and 2,575.20 is: 3,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.80 : 9,704.40 = 2,575.20 : x
  2. Step 2: Convert to fraction form
    6,472.80/9,704.40 = 2,575.20/x
  3. Step 3: Cross multiply
    6,472.80x = 9,704.40 × 2,575.20
  4. Step 4: Simplify right side
    6,472.80x = 24,990,770.88
  5. Step 5: Solve for x
    x = 24,990,770.88/6,472.80
  6. Step 6: Final answer
    x = 3,860.89

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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.