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Finding the Fourth Proportional to 3,692.84, 5,095.85 and 2,077.98

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Solution

The fourth proportional to 3,692.84, 5,095.85 and 2,077.98 is: 2,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.84 : 5,095.85 = 2,077.98 : x
  2. Step 2: Convert to fraction form
    3,692.84/5,095.85 = 2,077.98/x
  3. Step 3: Cross multiply
    3,692.84x = 5,095.85 × 2,077.98
  4. Step 4: Simplify right side
    3,692.84x = 10,589,074.38
  5. Step 5: Solve for x
    x = 10,589,074.38/3,692.84
  6. Step 6: Final answer
    x = 2,867.46

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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.