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Finding the Fourth Proportional to 3,679.86, 5,079.38 and 2,357.12

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Solution

The fourth proportional to 3,679.86, 5,079.38 and 2,357.12 is: 3,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.86 : 5,079.38 = 2,357.12 : x
  2. Step 2: Convert to fraction form
    3,679.86/5,079.38 = 2,357.12/x
  3. Step 3: Cross multiply
    3,679.86x = 5,079.38 × 2,357.12
  4. Step 4: Simplify right side
    3,679.86x = 11,972,708.19
  5. Step 5: Solve for x
    x = 11,972,708.19/3,679.86
  6. Step 6: Final answer
    x = 3,253.58

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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.