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Finding the Fourth Proportional to 3,976.65, 5,964.97 and 1,510.88

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Solution

The fourth proportional to 3,976.65, 5,964.97 and 1,510.88 is: 2,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.65 : 5,964.97 = 1,510.88 : x
  2. Step 2: Convert to fraction form
    3,976.65/5,964.97 = 1,510.88/x
  3. Step 3: Cross multiply
    3,976.65x = 5,964.97 × 1,510.88
  4. Step 4: Simplify right side
    3,976.65x = 9,012,365.01
  5. Step 5: Solve for x
    x = 9,012,365.01/3,976.65
  6. Step 6: Final answer
    x = 2,266.32

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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.