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Finding the Fourth Proportional to 3,632.31, 5,011.07 and 2,234.25

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Solution

The fourth proportional to 3,632.31, 5,011.07 and 2,234.25 is: 3,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.31 : 5,011.07 = 2,234.25 : x
  2. Step 2: Convert to fraction form
    3,632.31/5,011.07 = 2,234.25/x
  3. Step 3: Cross multiply
    3,632.31x = 5,011.07 × 2,234.25
  4. Step 4: Simplify right side
    3,632.31x = 11,195,971.98
  5. Step 5: Solve for x
    x = 11,195,971.98/3,632.31
  6. Step 6: Final answer
    x = 3,082.33

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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.