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Finding the Fourth Proportional to 3,489.62, 5,238.88 and 2,262.17

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Solution

The fourth proportional to 3,489.62, 5,238.88 and 2,262.17 is: 3,396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.62 : 5,238.88 = 2,262.17 : x
  2. Step 2: Convert to fraction form
    3,489.62/5,238.88 = 2,262.17/x
  3. Step 3: Cross multiply
    3,489.62x = 5,238.88 × 2,262.17
  4. Step 4: Simplify right side
    3,489.62x = 11,851,199.66
  5. Step 5: Solve for x
    x = 11,851,199.66/3,489.62
  6. Step 6: Final answer
    x = 3,396.13

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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.