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Finding the Fourth Proportional to 4,112.76, 5,675.60 and 2,249.76

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Solution

The fourth proportional to 4,112.76, 5,675.60 and 2,249.76 is: 3,104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.76 : 5,675.60 = 2,249.76 : x
  2. Step 2: Convert to fraction form
    4,112.76/5,675.60 = 2,249.76/x
  3. Step 3: Cross multiply
    4,112.76x = 5,675.60 × 2,249.76
  4. Step 4: Simplify right side
    4,112.76x = 12,768,737.86
  5. Step 5: Solve for x
    x = 12,768,737.86/4,112.76
  6. Step 6: Final answer
    x = 3,104.66

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