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Finding the Fourth Proportional to 3,866.67, 5,332.50 and 2,874.42

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Solution

The fourth proportional to 3,866.67, 5,332.50 and 2,874.42 is: 3,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.67 : 5,332.50 = 2,874.42 : x
  2. Step 2: Convert to fraction form
    3,866.67/5,332.50 = 2,874.42/x
  3. Step 3: Cross multiply
    3,866.67x = 5,332.50 × 2,874.42
  4. Step 4: Simplify right side
    3,866.67x = 15,327,844.65
  5. Step 5: Solve for x
    x = 15,327,844.65/3,866.67
  6. Step 6: Final answer
    x = 3,964.09

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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.