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Finding the Fourth Proportional to 4,645.80, 6,408.90 and 3,954.60

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Solution

The fourth proportional to 4,645.80, 6,408.90 and 3,954.60 is: 5,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.80 : 6,408.90 = 3,954.60 : x
  2. Step 2: Convert to fraction form
    4,645.80/6,408.90 = 3,954.60/x
  3. Step 3: Cross multiply
    4,645.80x = 6,408.90 × 3,954.60
  4. Step 4: Simplify right side
    4,645.80x = 25,344,635.94
  5. Step 5: Solve for x
    x = 25,344,635.94/4,645.80
  6. Step 6: Final answer
    x = 5,455.39

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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.