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Finding the Fourth Proportional to 3,645.75, 5,031.14 and 2,249.31

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Solution

The fourth proportional to 3,645.75, 5,031.14 and 2,249.31 is: 3,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.75 : 5,031.14 = 2,249.31 : x
  2. Step 2: Convert to fraction form
    3,645.75/5,031.14 = 2,249.31/x
  3. Step 3: Cross multiply
    3,645.75x = 5,031.14 × 2,249.31
  4. Step 4: Simplify right side
    3,645.75x = 11,316,582.27
  5. Step 5: Solve for x
    x = 11,316,582.27/3,645.75
  6. Step 6: Final answer
    x = 3,104.05

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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.