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Finding the Fourth Proportional to 3,952.07, 5,454.38 and 3,822.26

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Solution

The fourth proportional to 3,952.07, 5,454.38 and 3,822.26 is: 5,275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.07 : 5,454.38 = 3,822.26 : x
  2. Step 2: Convert to fraction form
    3,952.07/5,454.38 = 3,822.26/x
  3. Step 3: Cross multiply
    3,952.07x = 5,454.38 × 3,822.26
  4. Step 4: Simplify right side
    3,952.07x = 20,848,058.50
  5. Step 5: Solve for x
    x = 20,848,058.50/3,952.07
  6. Step 6: Final answer
    x = 5,275.23

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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.