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Finding the Fourth Proportional to 5,811.74, 8,020.23 and 3,159.20

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Solution

The fourth proportional to 5,811.74, 8,020.23 and 3,159.20 is: 4,359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.74 : 8,020.23 = 3,159.20 : x
  2. Step 2: Convert to fraction form
    5,811.74/8,020.23 = 3,159.20/x
  3. Step 3: Cross multiply
    5,811.74x = 8,020.23 × 3,159.20
  4. Step 4: Simplify right side
    5,811.74x = 25,337,510.62
  5. Step 5: Solve for x
    x = 25,337,510.62/5,811.74
  6. Step 6: Final answer
    x = 4,359.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.