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Finding the Fourth Proportional to 3,668.80, 5,061.97 and 2,175.48

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Solution

The fourth proportional to 3,668.80, 5,061.97 and 2,175.48 is: 3,001.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.80 : 5,061.97 = 2,175.48 : x
  2. Step 2: Convert to fraction form
    3,668.80/5,061.97 = 2,175.48/x
  3. Step 3: Cross multiply
    3,668.80x = 5,061.97 × 2,175.48
  4. Step 4: Simplify right side
    3,668.80x = 11,012,178.31
  5. Step 5: Solve for x
    x = 11,012,178.31/3,668.80
  6. Step 6: Final answer
    x = 3,001.57

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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.