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Finding the Fourth Proportional to 5,162.64, 7,747.28 and 2,241.24

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Solution

The fourth proportional to 5,162.64, 7,747.28 and 2,241.24 is: 3,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.64 : 7,747.28 = 2,241.24 : x
  2. Step 2: Convert to fraction form
    5,162.64/7,747.28 = 2,241.24/x
  3. Step 3: Cross multiply
    5,162.64x = 7,747.28 × 2,241.24
  4. Step 4: Simplify right side
    5,162.64x = 17,363,513.83
  5. Step 5: Solve for x
    x = 17,363,513.83/5,162.64
  6. Step 6: Final answer
    x = 3,363.30

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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.