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Finding the Fourth Proportional to 3,637.98, 5,017.34 and 3,079.69

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Solution

The fourth proportional to 3,637.98, 5,017.34 and 3,079.69 is: 4,247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.98 : 5,017.34 = 3,079.69 : x
  2. Step 2: Convert to fraction form
    3,637.98/5,017.34 = 3,079.69/x
  3. Step 3: Cross multiply
    3,637.98x = 5,017.34 × 3,079.69
  4. Step 4: Simplify right side
    3,637.98x = 15,451,846.98
  5. Step 5: Solve for x
    x = 15,451,846.98/3,637.98
  6. Step 6: Final answer
    x = 4,247.37

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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.