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Finding the Fourth Proportional to 3,902.92, 5,853.06 and 2,984.44

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Solution

The fourth proportional to 3,902.92, 5,853.06 and 2,984.44 is: 4,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.92 : 5,853.06 = 2,984.44 : x
  2. Step 2: Convert to fraction form
    3,902.92/5,853.06 = 2,984.44/x
  3. Step 3: Cross multiply
    3,902.92x = 5,853.06 × 2,984.44
  4. Step 4: Simplify right side
    3,902.92x = 17,468,106.39
  5. Step 5: Solve for x
    x = 17,468,106.39/3,902.92
  6. Step 6: Final answer
    x = 4,475.65

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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.