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Finding the Fourth Proportional to 5,282.87, 7,926.06 and 1,996.25

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Solution

The fourth proportional to 5,282.87, 7,926.06 and 1,996.25 is: 2,995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.87 : 7,926.06 = 1,996.25 : x
  2. Step 2: Convert to fraction form
    5,282.87/7,926.06 = 1,996.25/x
  3. Step 3: Cross multiply
    5,282.87x = 7,926.06 × 1,996.25
  4. Step 4: Simplify right side
    5,282.87x = 15,822,397.28
  5. Step 5: Solve for x
    x = 15,822,397.28/5,282.87
  6. Step 6: Final answer
    x = 2,995.04

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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.