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Finding the Fourth Proportional to 6,337.74, 8,739.50 and 3,819.35

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Solution

The fourth proportional to 6,337.74, 8,739.50 and 3,819.35 is: 5,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.74 : 8,739.50 = 3,819.35 : x
  2. Step 2: Convert to fraction form
    6,337.74/8,739.50 = 3,819.35/x
  3. Step 3: Cross multiply
    6,337.74x = 8,739.50 × 3,819.35
  4. Step 4: Simplify right side
    6,337.74x = 33,379,212.08
  5. Step 5: Solve for x
    x = 33,379,212.08/6,337.74
  6. Step 6: Final answer
    x = 5,266.73

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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.