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Finding the Fourth Proportional to 3,860, 5,789.68 and 1,668.72

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Solution

The fourth proportional to 3,860, 5,789.68 and 1,668.72 is: 2,502.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860 : 5,789.68 = 1,668.72 : x
  2. Step 2: Convert to fraction form
    3,860/5,789.68 = 1,668.72/x
  3. Step 3: Cross multiply
    3,860x = 5,789.68 × 1,668.72
  4. Step 4: Simplify right side
    3,860x = 9,661,354.81
  5. Step 5: Solve for x
    x = 9,661,354.81/3,860
  6. Step 6: Final answer
    x = 2,502.94

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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.