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Finding the Fourth Proportional to 5,715.68, 8,575.80 and 2,793.20

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Solution

The fourth proportional to 5,715.68, 8,575.80 and 2,793.20 is: 4,190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.68 : 8,575.80 = 2,793.20 : x
  2. Step 2: Convert to fraction form
    5,715.68/8,575.80 = 2,793.20/x
  3. Step 3: Cross multiply
    5,715.68x = 8,575.80 × 2,793.20
  4. Step 4: Simplify right side
    5,715.68x = 23,953,924.56
  5. Step 5: Solve for x
    x = 23,953,924.56/5,715.68
  6. Step 6: Final answer
    x = 4,190.91

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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.