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Finding the Fourth Proportional to 4,001.76, 5,976 and 3,126.24

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Solution

The fourth proportional to 4,001.76, 5,976 and 3,126.24 is: 4,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.76 : 5,976 = 3,126.24 : x
  2. Step 2: Convert to fraction form
    4,001.76/5,976 = 3,126.24/x
  3. Step 3: Cross multiply
    4,001.76x = 5,976 × 3,126.24
  4. Step 4: Simplify right side
    4,001.76x = 18,682,410.24
  5. Step 5: Solve for x
    x = 18,682,410.24/4,001.76
  6. Step 6: Final answer
    x = 4,668.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.