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Finding the Fourth Proportional to 4,523.68, 6,780.12 and 2,573.20

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Solution

The fourth proportional to 4,523.68, 6,780.12 and 2,573.20 is: 3,856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.68 : 6,780.12 = 2,573.20 : x
  2. Step 2: Convert to fraction form
    4,523.68/6,780.12 = 2,573.20/x
  3. Step 3: Cross multiply
    4,523.68x = 6,780.12 × 2,573.20
  4. Step 4: Simplify right side
    4,523.68x = 17,446,604.78
  5. Step 5: Solve for x
    x = 17,446,604.78/4,523.68
  6. Step 6: Final answer
    x = 3,856.73

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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.