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Finding the Fourth Proportional to 5,751.94, 7,938.22 and 3,234.68

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Solution

The fourth proportional to 5,751.94, 7,938.22 and 3,234.68 is: 4,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.94 : 7,938.22 = 3,234.68 : x
  2. Step 2: Convert to fraction form
    5,751.94/7,938.22 = 3,234.68/x
  3. Step 3: Cross multiply
    5,751.94x = 7,938.22 × 3,234.68
  4. Step 4: Simplify right side
    5,751.94x = 25,677,601.47
  5. Step 5: Solve for x
    x = 25,677,601.47/5,751.94
  6. Step 6: Final answer
    x = 4,464.16

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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.