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Finding the Fourth Proportional to 3,438.44, 4,747.41 and 2,542.37

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Solution

The fourth proportional to 3,438.44, 4,747.41 and 2,542.37 is: 3,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.44 : 4,747.41 = 2,542.37 : x
  2. Step 2: Convert to fraction form
    3,438.44/4,747.41 = 2,542.37/x
  3. Step 3: Cross multiply
    3,438.44x = 4,747.41 × 2,542.37
  4. Step 4: Simplify right side
    3,438.44x = 12,069,649.02
  5. Step 5: Solve for x
    x = 12,069,649.02/3,438.44
  6. Step 6: Final answer
    x = 3,510.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.