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Finding the Fourth Proportional to 5,692.50, 8,542.61 and 1,994.76

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Solution

The fourth proportional to 5,692.50, 8,542.61 and 1,994.76 is: 2,993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.50 : 8,542.61 = 1,994.76 : x
  2. Step 2: Convert to fraction form
    5,692.50/8,542.61 = 1,994.76/x
  3. Step 3: Cross multiply
    5,692.50x = 8,542.61 × 1,994.76
  4. Step 4: Simplify right side
    5,692.50x = 17,040,446.75
  5. Step 5: Solve for x
    x = 17,040,446.75/5,692.50
  6. Step 6: Final answer
    x = 2,993.49

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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.