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Finding the Fourth Proportional to 5,167.80, 7,754.94 and 2,049.48

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Solution

The fourth proportional to 5,167.80, 7,754.94 and 2,049.48 is: 3,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.80 : 7,754.94 = 2,049.48 : x
  2. Step 2: Convert to fraction form
    5,167.80/7,754.94 = 2,049.48/x
  3. Step 3: Cross multiply
    5,167.80x = 7,754.94 × 2,049.48
  4. Step 4: Simplify right side
    5,167.80x = 15,893,594.43
  5. Step 5: Solve for x
    x = 15,893,594.43/5,167.80
  6. Step 6: Final answer
    x = 3,075.50

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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.