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Finding the Fourth Proportional to 5,692.69, 7,855.95 and 3,334.85

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Solution

The fourth proportional to 5,692.69, 7,855.95 and 3,334.85 is: 4,602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.69 : 7,855.95 = 3,334.85 : x
  2. Step 2: Convert to fraction form
    5,692.69/7,855.95 = 3,334.85/x
  3. Step 3: Cross multiply
    5,692.69x = 7,855.95 × 3,334.85
  4. Step 4: Simplify right side
    5,692.69x = 26,198,414.86
  5. Step 5: Solve for x
    x = 26,198,414.86/5,692.69
  6. Step 6: Final answer
    x = 4,602.12

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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.