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Finding the Fourth Proportional to 5,811.81, 8,020.35 and 3,159.24

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Solution

The fourth proportional to 5,811.81, 8,020.35 and 3,159.24 is: 4,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.81 : 8,020.35 = 3,159.24 : x
  2. Step 2: Convert to fraction form
    5,811.81/8,020.35 = 3,159.24/x
  3. Step 3: Cross multiply
    5,811.81x = 8,020.35 × 3,159.24
  4. Step 4: Simplify right side
    5,811.81x = 25,338,210.53
  5. Step 5: Solve for x
    x = 25,338,210.53/5,811.81
  6. Step 6: Final answer
    x = 4,359.78

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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.