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Finding the Fourth Proportional to 3,679.82, 5,078.10 and 2,739.81

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Solution

The fourth proportional to 3,679.82, 5,078.10 and 2,739.81 is: 3,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.82 : 5,078.10 = 2,739.81 : x
  2. Step 2: Convert to fraction form
    3,679.82/5,078.10 = 2,739.81/x
  3. Step 3: Cross multiply
    3,679.82x = 5,078.10 × 2,739.81
  4. Step 4: Simplify right side
    3,679.82x = 13,913,029.16
  5. Step 5: Solve for x
    x = 13,913,029.16/3,679.82
  6. Step 6: Final answer
    x = 3,780.90

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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.