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Finding the Fourth Proportional to 3,768.86, 5,198.41 and 2,587.88

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Solution

The fourth proportional to 3,768.86, 5,198.41 and 2,587.88 is: 3,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.86 : 5,198.41 = 2,587.88 : x
  2. Step 2: Convert to fraction form
    3,768.86/5,198.41 = 2,587.88/x
  3. Step 3: Cross multiply
    3,768.86x = 5,198.41 × 2,587.88
  4. Step 4: Simplify right side
    3,768.86x = 13,452,861.27
  5. Step 5: Solve for x
    x = 13,452,861.27/3,768.86
  6. Step 6: Final answer
    x = 3,569.48

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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.