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Finding the Fourth Proportional to 4,493.18, 6,745.72 and 3,839.25

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Solution

The fourth proportional to 4,493.18, 6,745.72 and 3,839.25 is: 5,763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.18 : 6,745.72 = 3,839.25 : x
  2. Step 2: Convert to fraction form
    4,493.18/6,745.72 = 3,839.25/x
  3. Step 3: Cross multiply
    4,493.18x = 6,745.72 × 3,839.25
  4. Step 4: Simplify right side
    4,493.18x = 25,898,495.91
  5. Step 5: Solve for x
    x = 25,898,495.91/4,493.18
  6. Step 6: Final answer
    x = 5,763.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.