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Finding the Fourth Proportional to 5,627.50, 8,442.60 and 2,549.50

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Solution

The fourth proportional to 5,627.50, 8,442.60 and 2,549.50 is: 3,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.50 : 8,442.60 = 2,549.50 : x
  2. Step 2: Convert to fraction form
    5,627.50/8,442.60 = 2,549.50/x
  3. Step 3: Cross multiply
    5,627.50x = 8,442.60 × 2,549.50
  4. Step 4: Simplify right side
    5,627.50x = 21,524,408.70
  5. Step 5: Solve for x
    x = 21,524,408.70/5,627.50
  6. Step 6: Final answer
    x = 3,824.86

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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.