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Finding the Fourth Proportional to 3,408.39, 4,704.28 and 2,148.57

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Solution

The fourth proportional to 3,408.39, 4,704.28 and 2,148.57 is: 2,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.39 : 4,704.28 = 2,148.57 : x
  2. Step 2: Convert to fraction form
    3,408.39/4,704.28 = 2,148.57/x
  3. Step 3: Cross multiply
    3,408.39x = 4,704.28 × 2,148.57
  4. Step 4: Simplify right side
    3,408.39x = 10,107,469.51
  5. Step 5: Solve for x
    x = 10,107,469.51/3,408.39
  6. Step 6: Final answer
    x = 2,965.47

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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.