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Finding the Fourth Proportional to 3,531.50, 5,294.91 and 1,682.90

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Solution

The fourth proportional to 3,531.50, 5,294.91 and 1,682.90 is: 2,523.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.50 : 5,294.91 = 1,682.90 : x
  2. Step 2: Convert to fraction form
    3,531.50/5,294.91 = 1,682.90/x
  3. Step 3: Cross multiply
    3,531.50x = 5,294.91 × 1,682.90
  4. Step 4: Simplify right side
    3,531.50x = 8,910,804.04
  5. Step 5: Solve for x
    x = 8,910,804.04/3,531.50
  6. Step 6: Final answer
    x = 2,523.23

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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.