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Finding the Fourth Proportional to 3,692.97, 5,098.01 and 2,276.91

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Solution

The fourth proportional to 3,692.97, 5,098.01 and 2,276.91 is: 3,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.97 : 5,098.01 = 2,276.91 : x
  2. Step 2: Convert to fraction form
    3,692.97/5,098.01 = 2,276.91/x
  3. Step 3: Cross multiply
    3,692.97x = 5,098.01 × 2,276.91
  4. Step 4: Simplify right side
    3,692.97x = 11,607,698.56
  5. Step 5: Solve for x
    x = 11,607,698.56/3,692.97
  6. Step 6: Final answer
    x = 3,143.19

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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.