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Finding the Fourth Proportional to 5,627.55, 7,766.49 and 3,269.55

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Solution

The fourth proportional to 5,627.55, 7,766.49 and 3,269.55 is: 4,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.55 : 7,766.49 = 3,269.55 : x
  2. Step 2: Convert to fraction form
    5,627.55/7,766.49 = 3,269.55/x
  3. Step 3: Cross multiply
    5,627.55x = 7,766.49 × 3,269.55
  4. Step 4: Simplify right side
    5,627.55x = 25,392,927.38
  5. Step 5: Solve for x
    x = 25,392,927.38/5,627.55
  6. Step 6: Final answer
    x = 4,512.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.