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Finding the Fourth Proportional to 5,751.92, 7,937.60 and 3,234.08

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Solution

The fourth proportional to 5,751.92, 7,937.60 and 3,234.08 is: 4,463.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.92 : 7,937.60 = 3,234.08 : x
  2. Step 2: Convert to fraction form
    5,751.92/7,937.60 = 3,234.08/x
  3. Step 3: Cross multiply
    5,751.92x = 7,937.60 × 3,234.08
  4. Step 4: Simplify right side
    5,751.92x = 25,670,777.55
  5. Step 5: Solve for x
    x = 25,670,777.55/5,751.92
  6. Step 6: Final answer
    x = 4,463.00

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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.