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Finding the Fourth Proportional to 3,959.28, 5,460.48 and 3,434.40

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Solution

The fourth proportional to 3,959.28, 5,460.48 and 3,434.40 is: 4,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.28 : 5,460.48 = 3,434.40 : x
  2. Step 2: Convert to fraction form
    3,959.28/5,460.48 = 3,434.40/x
  3. Step 3: Cross multiply
    3,959.28x = 5,460.48 × 3,434.40
  4. Step 4: Simplify right side
    3,959.28x = 18,753,472.51
  5. Step 5: Solve for x
    x = 18,753,472.51/3,959.28
  6. Step 6: Final answer
    x = 4,736.59

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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.