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Finding the Fourth Proportional to 5,577.68, 8,363.64 and 2,498

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Solution

The fourth proportional to 5,577.68, 8,363.64 and 2,498 is: 3,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.68 : 8,363.64 = 2,498 : x
  2. Step 2: Convert to fraction form
    5,577.68/8,363.64 = 2,498/x
  3. Step 3: Cross multiply
    5,577.68x = 8,363.64 × 2,498
  4. Step 4: Simplify right side
    5,577.68x = 20,892,372.72
  5. Step 5: Solve for x
    x = 20,892,372.72/5,577.68
  6. Step 6: Final answer
    x = 3,745.71

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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.