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Finding the Fourth Proportional to 3,952.32, 5,454.73 and 3,822.51

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Solution

The fourth proportional to 3,952.32, 5,454.73 and 3,822.51 is: 5,275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.32 : 5,454.73 = 3,822.51 : x
  2. Step 2: Convert to fraction form
    3,952.32/5,454.73 = 3,822.51/x
  3. Step 3: Cross multiply
    3,952.32x = 5,454.73 × 3,822.51
  4. Step 4: Simplify right side
    3,952.32x = 20,850,759.97
  5. Step 5: Solve for x
    x = 20,850,759.97/3,952.32
  6. Step 6: Final answer
    x = 5,275.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.