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Finding the Fourth Proportional to 4,309.78, 5,947.92 and 2,632.30

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Solution

The fourth proportional to 4,309.78, 5,947.92 and 2,632.30 is: 3,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.78 : 5,947.92 = 2,632.30 : x
  2. Step 2: Convert to fraction form
    4,309.78/5,947.92 = 2,632.30/x
  3. Step 3: Cross multiply
    4,309.78x = 5,947.92 × 2,632.30
  4. Step 4: Simplify right side
    4,309.78x = 15,656,709.82
  5. Step 5: Solve for x
    x = 15,656,709.82/4,309.78
  6. Step 6: Final answer
    x = 3,632.83

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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.