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Finding the Fourth Proportional to 3,741.98, 5,135.46 and 3,443.90

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Solution

The fourth proportional to 3,741.98, 5,135.46 and 3,443.90 is: 4,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.98 : 5,135.46 = 3,443.90 : x
  2. Step 2: Convert to fraction form
    3,741.98/5,135.46 = 3,443.90/x
  3. Step 3: Cross multiply
    3,741.98x = 5,135.46 × 3,443.90
  4. Step 4: Simplify right side
    3,741.98x = 17,686,010.69
  5. Step 5: Solve for x
    x = 17,686,010.69/3,741.98
  6. Step 6: Final answer
    x = 4,726.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.