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Finding the Fourth Proportional to 3,976.68, 5,965.02 and 1,510.91

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Solution

The fourth proportional to 3,976.68, 5,965.02 and 1,510.91 is: 2,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.68 : 5,965.02 = 1,510.91 : x
  2. Step 2: Convert to fraction form
    3,976.68/5,965.02 = 1,510.91/x
  3. Step 3: Cross multiply
    3,976.68x = 5,965.02 × 1,510.91
  4. Step 4: Simplify right side
    3,976.68x = 9,012,578.54
  5. Step 5: Solve for x
    x = 9,012,578.54/3,976.68
  6. Step 6: Final answer
    x = 2,266.36

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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.