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Finding the Fourth Proportional to 3,921.44, 5,879.28 and 3,380

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Solution

The fourth proportional to 3,921.44, 5,879.28 and 3,380 is: 5,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.44 : 5,879.28 = 3,380 : x
  2. Step 2: Convert to fraction form
    3,921.44/5,879.28 = 3,380/x
  3. Step 3: Cross multiply
    3,921.44x = 5,879.28 × 3,380
  4. Step 4: Simplify right side
    3,921.44x = 19,871,966.40
  5. Step 5: Solve for x
    x = 19,871,966.40/3,921.44
  6. Step 6: Final answer
    x = 5,067.52

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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.