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Finding the Fourth Proportional to 3,692.01, 5,095.76 and 2,120.97

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Solution

The fourth proportional to 3,692.01, 5,095.76 and 2,120.97 is: 2,927.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.01 : 5,095.76 = 2,120.97 : x
  2. Step 2: Convert to fraction form
    3,692.01/5,095.76 = 2,120.97/x
  3. Step 3: Cross multiply
    3,692.01x = 5,095.76 × 2,120.97
  4. Step 4: Simplify right side
    3,692.01x = 10,807,954.09
  5. Step 5: Solve for x
    x = 10,807,954.09/3,692.01
  6. Step 6: Final answer
    x = 2,927.39

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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.