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Finding the Fourth Proportional to 3,947.97, 5,921.97 and 1,026.28

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Solution

The fourth proportional to 3,947.97, 5,921.97 and 1,026.28 is: 1,539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.97 : 5,921.97 = 1,026.28 : x
  2. Step 2: Convert to fraction form
    3,947.97/5,921.97 = 1,026.28/x
  3. Step 3: Cross multiply
    3,947.97x = 5,921.97 × 1,026.28
  4. Step 4: Simplify right side
    3,947.97x = 6,077,602.93
  5. Step 5: Solve for x
    x = 6,077,602.93/3,947.97
  6. Step 6: Final answer
    x = 1,539.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.