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Finding the Fourth Proportional to 3,827.41, 5,741.11 and 1,518.91

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Solution

The fourth proportional to 3,827.41, 5,741.11 and 1,518.91 is: 2,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.41 : 5,741.11 = 1,518.91 : x
  2. Step 2: Convert to fraction form
    3,827.41/5,741.11 = 1,518.91/x
  3. Step 3: Cross multiply
    3,827.41x = 5,741.11 × 1,518.91
  4. Step 4: Simplify right side
    3,827.41x = 8,720,229.39
  5. Step 5: Solve for x
    x = 8,720,229.39/3,827.41
  6. Step 6: Final answer
    x = 2,278.36

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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.