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Finding the Fourth Proportional to 5,752.29, 7,937.67 and 3,234.21

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Solution

The fourth proportional to 5,752.29, 7,937.67 and 3,234.21 is: 4,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.29 : 7,937.67 = 3,234.21 : x
  2. Step 2: Convert to fraction form
    5,752.29/7,937.67 = 3,234.21/x
  3. Step 3: Cross multiply
    5,752.29x = 7,937.67 × 3,234.21
  4. Step 4: Simplify right side
    5,752.29x = 25,672,091.69
  5. Step 5: Solve for x
    x = 25,672,091.69/5,752.29
  6. Step 6: Final answer
    x = 4,462.93

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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.