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Finding the Fourth Proportional to 5,811.72, 8,020.20 and 3,159.15

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Solution

The fourth proportional to 5,811.72, 8,020.20 and 3,159.15 is: 4,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.72 : 8,020.20 = 3,159.15 : x
  2. Step 2: Convert to fraction form
    5,811.72/8,020.20 = 3,159.15/x
  3. Step 3: Cross multiply
    5,811.72x = 8,020.20 × 3,159.15
  4. Step 4: Simplify right side
    5,811.72x = 25,337,014.83
  5. Step 5: Solve for x
    x = 25,337,014.83/5,811.72
  6. Step 6: Final answer
    x = 4,359.64

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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.