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Finding the Fourth Proportional to 3,872.16, 5,800.50 and 1,789.29

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Solution

The fourth proportional to 3,872.16, 5,800.50 and 1,789.29 is: 2,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.16 : 5,800.50 = 1,789.29 : x
  2. Step 2: Convert to fraction form
    3,872.16/5,800.50 = 1,789.29/x
  3. Step 3: Cross multiply
    3,872.16x = 5,800.50 × 1,789.29
  4. Step 4: Simplify right side
    3,872.16x = 10,378,776.65
  5. Step 5: Solve for x
    x = 10,378,776.65/3,872.16
  6. Step 6: Final answer
    x = 2,680.36

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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.