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Finding the Fourth Proportional to 5,234.34, 7,223.43 and 2,876.47

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Solution

The fourth proportional to 5,234.34, 7,223.43 and 2,876.47 is: 3,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.34 : 7,223.43 = 2,876.47 : x
  2. Step 2: Convert to fraction form
    5,234.34/7,223.43 = 2,876.47/x
  3. Step 3: Cross multiply
    5,234.34x = 7,223.43 × 2,876.47
  4. Step 4: Simplify right side
    5,234.34x = 20,777,979.69
  5. Step 5: Solve for x
    x = 20,777,979.69/5,234.34
  6. Step 6: Final answer
    x = 3,969.55

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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.