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Finding the Fourth Proportional to 5,778.09, 8,661.81 and 3,141.74

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Solution

The fourth proportional to 5,778.09, 8,661.81 and 3,141.74 is: 4,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.09 : 8,661.81 = 3,141.74 : x
  2. Step 2: Convert to fraction form
    5,778.09/8,661.81 = 3,141.74/x
  3. Step 3: Cross multiply
    5,778.09x = 8,661.81 × 3,141.74
  4. Step 4: Simplify right side
    5,778.09x = 27,213,162.80
  5. Step 5: Solve for x
    x = 27,213,162.80/5,778.09
  6. Step 6: Final answer
    x = 4,709.72

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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.