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Finding the Fourth Proportional to 3,115.44, 4,301 and 2,275.28

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Solution

The fourth proportional to 3,115.44, 4,301 and 2,275.28 is: 3,141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.44 : 4,301 = 2,275.28 : x
  2. Step 2: Convert to fraction form
    3,115.44/4,301 = 2,275.28/x
  3. Step 3: Cross multiply
    3,115.44x = 4,301 × 2,275.28
  4. Step 4: Simplify right side
    3,115.44x = 9,785,979.28
  5. Step 5: Solve for x
    x = 9,785,979.28/3,115.44
  6. Step 6: Final answer
    x = 3,141.12

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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.