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Finding the Fourth Proportional to 5,786.20, 8,679.30 and 5,713.30

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Solution

The fourth proportional to 5,786.20, 8,679.30 and 5,713.30 is: 8,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.20 : 8,679.30 = 5,713.30 : x
  2. Step 2: Convert to fraction form
    5,786.20/8,679.30 = 5,713.30/x
  3. Step 3: Cross multiply
    5,786.20x = 8,679.30 × 5,713.30
  4. Step 4: Simplify right side
    5,786.20x = 49,587,444.69
  5. Step 5: Solve for x
    x = 49,587,444.69/5,786.20
  6. Step 6: Final answer
    x = 8,569.95

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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.