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Finding the Fourth Proportional to 5,171.03, 7,744.19 and 2,827.53

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Solution

The fourth proportional to 5,171.03, 7,744.19 and 2,827.53 is: 4,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.03 : 7,744.19 = 2,827.53 : x
  2. Step 2: Convert to fraction form
    5,171.03/7,744.19 = 2,827.53/x
  3. Step 3: Cross multiply
    5,171.03x = 7,744.19 × 2,827.53
  4. Step 4: Simplify right side
    5,171.03x = 21,896,929.55
  5. Step 5: Solve for x
    x = 21,896,929.55/5,171.03
  6. Step 6: Final answer
    x = 4,234.54

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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.