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Finding the Fourth Proportional to 5,177.97, 7,768.25 and 1,668.30

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Solution

The fourth proportional to 5,177.97, 7,768.25 and 1,668.30 is: 2,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.97 : 7,768.25 = 1,668.30 : x
  2. Step 2: Convert to fraction form
    5,177.97/7,768.25 = 1,668.30/x
  3. Step 3: Cross multiply
    5,177.97x = 7,768.25 × 1,668.30
  4. Step 4: Simplify right side
    5,177.97x = 12,959,763.13
  5. Step 5: Solve for x
    x = 12,959,763.13/5,177.97
  6. Step 6: Final answer
    x = 2,502.87

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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.