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Finding the Fourth Proportional to 5,764.57, 8,641.08 and 2,249.74

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Solution

The fourth proportional to 5,764.57, 8,641.08 and 2,249.74 is: 3,372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.57 : 8,641.08 = 2,249.74 : x
  2. Step 2: Convert to fraction form
    5,764.57/8,641.08 = 2,249.74/x
  3. Step 3: Cross multiply
    5,764.57x = 8,641.08 × 2,249.74
  4. Step 4: Simplify right side
    5,764.57x = 19,440,194.12
  5. Step 5: Solve for x
    x = 19,440,194.12/5,764.57
  6. Step 6: Final answer
    x = 3,372.36

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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.