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Finding the Fourth Proportional to 5,357.80, 8,042.10 and 2,586.70

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Solution

The fourth proportional to 5,357.80, 8,042.10 and 2,586.70 is: 3,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.80 : 8,042.10 = 2,586.70 : x
  2. Step 2: Convert to fraction form
    5,357.80/8,042.10 = 2,586.70/x
  3. Step 3: Cross multiply
    5,357.80x = 8,042.10 × 2,586.70
  4. Step 4: Simplify right side
    5,357.80x = 20,802,500.07
  5. Step 5: Solve for x
    x = 20,802,500.07/5,357.80
  6. Step 6: Final answer
    x = 3,882.66

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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.