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Finding the Fourth Proportional to 4,017.96, 5,544.74 and 2,249.57

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Solution

The fourth proportional to 4,017.96, 5,544.74 and 2,249.57 is: 3,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.96 : 5,544.74 = 2,249.57 : x
  2. Step 2: Convert to fraction form
    4,017.96/5,544.74 = 2,249.57/x
  3. Step 3: Cross multiply
    4,017.96x = 5,544.74 × 2,249.57
  4. Step 4: Simplify right side
    4,017.96x = 12,473,300.25
  5. Step 5: Solve for x
    x = 12,473,300.25/4,017.96
  6. Step 6: Final answer
    x = 3,104.39

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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.