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Finding the Fourth Proportional to 3,142.62, 4,337.01 and 1,745.37

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Solution

The fourth proportional to 3,142.62, 4,337.01 and 1,745.37 is: 2,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.62 : 4,337.01 = 1,745.37 : x
  2. Step 2: Convert to fraction form
    3,142.62/4,337.01 = 1,745.37/x
  3. Step 3: Cross multiply
    3,142.62x = 4,337.01 × 1,745.37
  4. Step 4: Simplify right side
    3,142.62x = 7,569,687.14
  5. Step 5: Solve for x
    x = 7,569,687.14/3,142.62
  6. Step 6: Final answer
    x = 2,408.72

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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.