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Finding the Fourth Proportional to 4,208.31, 5,805 and 2,633.67

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Solution

The fourth proportional to 4,208.31, 5,805 and 2,633.67 is: 3,632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.31 : 5,805 = 2,633.67 : x
  2. Step 2: Convert to fraction form
    4,208.31/5,805 = 2,633.67/x
  3. Step 3: Cross multiply
    4,208.31x = 5,805 × 2,633.67
  4. Step 4: Simplify right side
    4,208.31x = 15,288,454.35
  5. Step 5: Solve for x
    x = 15,288,454.35/4,208.31
  6. Step 6: Final answer
    x = 3,632.92

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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.