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Finding the Fourth Proportional to 5,286.62, 7,930.15 and 1,999.28

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Solution

The fourth proportional to 5,286.62, 7,930.15 and 1,999.28 is: 2,999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.62 : 7,930.15 = 1,999.28 : x
  2. Step 2: Convert to fraction form
    5,286.62/7,930.15 = 1,999.28/x
  3. Step 3: Cross multiply
    5,286.62x = 7,930.15 × 1,999.28
  4. Step 4: Simplify right side
    5,286.62x = 15,854,616.37
  5. Step 5: Solve for x
    x = 15,854,616.37/5,286.62
  6. Step 6: Final answer
    x = 2,999.01

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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.