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Finding the Fourth Proportional to 4,737.48, 6,523.38 and 3,739.56

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Solution

The fourth proportional to 4,737.48, 6,523.38 and 3,739.56 is: 5,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.48 : 6,523.38 = 3,739.56 : x
  2. Step 2: Convert to fraction form
    4,737.48/6,523.38 = 3,739.56/x
  3. Step 3: Cross multiply
    4,737.48x = 6,523.38 × 3,739.56
  4. Step 4: Simplify right side
    4,737.48x = 24,394,570.91
  5. Step 5: Solve for x
    x = 24,394,570.91/4,737.48
  6. Step 6: Final answer
    x = 5,149.27

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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.