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Finding the Fourth Proportional to 5,532.50, 8,294.60 and 1,832.49

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Solution

The fourth proportional to 5,532.50, 8,294.60 and 1,832.49 is: 2,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.50 : 8,294.60 = 1,832.49 : x
  2. Step 2: Convert to fraction form
    5,532.50/8,294.60 = 1,832.49/x
  3. Step 3: Cross multiply
    5,532.50x = 8,294.60 × 1,832.49
  4. Step 4: Simplify right side
    5,532.50x = 15,199,776.14
  5. Step 5: Solve for x
    x = 15,199,776.14/5,532.50
  6. Step 6: Final answer
    x = 2,747.36

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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.