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Finding the Fourth Proportional to 5,189.97, 7,772.54 and 2,846.37

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Solution

The fourth proportional to 5,189.97, 7,772.54 and 2,846.37 is: 4,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.97 : 7,772.54 = 2,846.37 : x
  2. Step 2: Convert to fraction form
    5,189.97/7,772.54 = 2,846.37/x
  3. Step 3: Cross multiply
    5,189.97x = 7,772.54 × 2,846.37
  4. Step 4: Simplify right side
    5,189.97x = 22,123,510.45
  5. Step 5: Solve for x
    x = 22,123,510.45/5,189.97
  6. Step 6: Final answer
    x = 4,262.74

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