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Finding the Fourth Proportional to 4,472.67, 6,704.90 and 2,278.83

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Solution

The fourth proportional to 4,472.67, 6,704.90 and 2,278.83 is: 3,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.67 : 6,704.90 = 2,278.83 : x
  2. Step 2: Convert to fraction form
    4,472.67/6,704.90 = 2,278.83/x
  3. Step 3: Cross multiply
    4,472.67x = 6,704.90 × 2,278.83
  4. Step 4: Simplify right side
    4,472.67x = 15,279,315.87
  5. Step 5: Solve for x
    x = 15,279,315.87/4,472.67
  6. Step 6: Final answer
    x = 3,416.15

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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.