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Finding the Fourth Proportional to 4,882.24, 6,737.12 and 2,786.08

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Solution

The fourth proportional to 4,882.24, 6,737.12 and 2,786.08 is: 3,844.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.24 : 6,737.12 = 2,786.08 : x
  2. Step 2: Convert to fraction form
    4,882.24/6,737.12 = 2,786.08/x
  3. Step 3: Cross multiply
    4,882.24x = 6,737.12 × 2,786.08
  4. Step 4: Simplify right side
    4,882.24x = 18,770,155.29
  5. Step 5: Solve for x
    x = 18,770,155.29/4,882.24
  6. Step 6: Final answer
    x = 3,844.58

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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.