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Finding the Fourth Proportional to 3,902.08, 5,853.12 and 1,952.32

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Solution

The fourth proportional to 3,902.08, 5,853.12 and 1,952.32 is: 2,928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.08 : 5,853.12 = 1,952.32 : x
  2. Step 2: Convert to fraction form
    3,902.08/5,853.12 = 1,952.32/x
  3. Step 3: Cross multiply
    3,902.08x = 5,853.12 × 1,952.32
  4. Step 4: Simplify right side
    3,902.08x = 11,427,163.24
  5. Step 5: Solve for x
    x = 11,427,163.24/3,902.08
  6. Step 6: Final answer
    x = 2,928.48

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Similar ratio
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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.