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Finding the Fourth Proportional to 5,811.81, 8,020.32 and 3,159.23

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Solution

The fourth proportional to 5,811.81, 8,020.32 and 3,159.23 is: 4,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.81 : 8,020.32 = 3,159.23 : x
  2. Step 2: Convert to fraction form
    5,811.81/8,020.32 = 3,159.23/x
  3. Step 3: Cross multiply
    5,811.81x = 8,020.32 × 3,159.23
  4. Step 4: Simplify right side
    5,811.81x = 25,337,979.66
  5. Step 5: Solve for x
    x = 25,337,979.66/5,811.81
  6. Step 6: Final answer
    x = 4,359.74

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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.