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Finding the Fourth Proportional to 3,814.65, 5,716.40 and 2,167.65

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Solution

The fourth proportional to 3,814.65, 5,716.40 and 2,167.65 is: 3,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.65 : 5,716.40 = 2,167.65 : x
  2. Step 2: Convert to fraction form
    3,814.65/5,716.40 = 2,167.65/x
  3. Step 3: Cross multiply
    3,814.65x = 5,716.40 × 2,167.65
  4. Step 4: Simplify right side
    3,814.65x = 12,391,143.62
  5. Step 5: Solve for x
    x = 12,391,143.62/3,814.65
  6. Step 6: Final answer
    x = 3,248.30

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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.