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Finding the Fourth Proportional to 5,408.43, 7,468.19 and 3,422.49

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Solution

The fourth proportional to 5,408.43, 7,468.19 and 3,422.49 is: 4,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.43 : 7,468.19 = 3,422.49 : x
  2. Step 2: Convert to fraction form
    5,408.43/7,468.19 = 3,422.49/x
  3. Step 3: Cross multiply
    5,408.43x = 7,468.19 × 3,422.49
  4. Step 4: Simplify right side
    5,408.43x = 25,559,788.48
  5. Step 5: Solve for x
    x = 25,559,788.48/5,408.43
  6. Step 6: Final answer
    x = 4,725.92

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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.