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Finding the Fourth Proportional to 3,531.71, 5,294.12 and 1,682.33

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Solution

The fourth proportional to 3,531.71, 5,294.12 and 1,682.33 is: 2,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.71 : 5,294.12 = 1,682.33 : x
  2. Step 2: Convert to fraction form
    3,531.71/5,294.12 = 1,682.33/x
  3. Step 3: Cross multiply
    3,531.71x = 5,294.12 × 1,682.33
  4. Step 4: Simplify right side
    3,531.71x = 8,906,422.02
  5. Step 5: Solve for x
    x = 8,906,422.02/3,531.71
  6. Step 6: Final answer
    x = 2,521.85

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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.