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Finding the Fourth Proportional to 5,959.31, 8,940.78 and 2,262.87

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Solution

The fourth proportional to 5,959.31, 8,940.78 and 2,262.87 is: 3,395.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.31 : 8,940.78 = 2,262.87 : x
  2. Step 2: Convert to fraction form
    5,959.31/8,940.78 = 2,262.87/x
  3. Step 3: Cross multiply
    5,959.31x = 8,940.78 × 2,262.87
  4. Step 4: Simplify right side
    5,959.31x = 20,231,822.84
  5. Step 5: Solve for x
    x = 20,231,822.84/5,959.31
  6. Step 6: Final answer
    x = 3,395.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.