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Finding the Fourth Proportional to 5,577.50, 8,369.49 and 2,499.50

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Solution

The fourth proportional to 5,577.50, 8,369.49 and 2,499.50 is: 3,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.50 : 8,369.49 = 2,499.50 : x
  2. Step 2: Convert to fraction form
    5,577.50/8,369.49 = 2,499.50/x
  3. Step 3: Cross multiply
    5,577.50x = 8,369.49 × 2,499.50
  4. Step 4: Simplify right side
    5,577.50x = 20,919,540.26
  5. Step 5: Solve for x
    x = 20,919,540.26/5,577.50
  6. Step 6: Final answer
    x = 3,750.70

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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.