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Finding the Fourth Proportional to 3,692.29, 5,092.47 and 2,366.11

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Solution

The fourth proportional to 3,692.29, 5,092.47 and 2,366.11 is: 3,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.29 : 5,092.47 = 2,366.11 : x
  2. Step 2: Convert to fraction form
    3,692.29/5,092.47 = 2,366.11/x
  3. Step 3: Cross multiply
    3,692.29x = 5,092.47 × 2,366.11
  4. Step 4: Simplify right side
    3,692.29x = 12,049,344.19
  5. Step 5: Solve for x
    x = 12,049,344.19/3,692.29
  6. Step 6: Final answer
    x = 3,263.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.