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Finding the Fourth Proportional to 5,786.48, 8,680.13 and 2,864

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Solution

The fourth proportional to 5,786.48, 8,680.13 and 2,864 is: 4,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.48 : 8,680.13 = 2,864 : x
  2. Step 2: Convert to fraction form
    5,786.48/8,680.13 = 2,864/x
  3. Step 3: Cross multiply
    5,786.48x = 8,680.13 × 2,864
  4. Step 4: Simplify right side
    5,786.48x = 24,859,892.32
  5. Step 5: Solve for x
    x = 24,859,892.32/5,786.48
  6. Step 6: Final answer
    x = 4,296.20

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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.