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Finding the Fourth Proportional to 3,952.32, 5,454.72 and 3,822.50

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Solution

The fourth proportional to 3,952.32, 5,454.72 and 3,822.50 is: 5,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.32 : 5,454.72 = 3,822.50 : x
  2. Step 2: Convert to fraction form
    3,952.32/5,454.72 = 3,822.50/x
  3. Step 3: Cross multiply
    3,952.32x = 5,454.72 × 3,822.50
  4. Step 4: Simplify right side
    3,952.32x = 20,850,667.20
  5. Step 5: Solve for x
    x = 20,850,667.20/3,952.32
  6. Step 6: Final answer
    x = 5,275.55

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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.