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Finding the Fourth Proportional to 3,869.44, 5,338.04 and 2,275.56

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Solution

The fourth proportional to 3,869.44, 5,338.04 and 2,275.56 is: 3,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.44 : 5,338.04 = 2,275.56 : x
  2. Step 2: Convert to fraction form
    3,869.44/5,338.04 = 2,275.56/x
  3. Step 3: Cross multiply
    3,869.44x = 5,338.04 × 2,275.56
  4. Step 4: Simplify right side
    3,869.44x = 12,147,030.30
  5. Step 5: Solve for x
    x = 12,147,030.30/3,869.44
  6. Step 6: Final answer
    x = 3,139.22

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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.