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Finding the Fourth Proportional to 3,972.65, 5,471.16 and 3,886.56

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Solution

The fourth proportional to 3,972.65, 5,471.16 and 3,886.56 is: 5,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.65 : 5,471.16 = 3,886.56 : x
  2. Step 2: Convert to fraction form
    3,972.65/5,471.16 = 3,886.56/x
  3. Step 3: Cross multiply
    3,972.65x = 5,471.16 × 3,886.56
  4. Step 4: Simplify right side
    3,972.65x = 21,263,964.25
  5. Step 5: Solve for x
    x = 21,263,964.25/3,972.65
  6. Step 6: Final answer
    x = 5,352.59

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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.