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Finding the Fourth Proportional to 3,692.22, 5,095.07 and 2,098.66

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Solution

The fourth proportional to 3,692.22, 5,095.07 and 2,098.66 is: 2,896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.22 : 5,095.07 = 2,098.66 : x
  2. Step 2: Convert to fraction form
    3,692.22/5,095.07 = 2,098.66/x
  3. Step 3: Cross multiply
    3,692.22x = 5,095.07 × 2,098.66
  4. Step 4: Simplify right side
    3,692.22x = 10,692,819.61
  5. Step 5: Solve for x
    x = 10,692,819.61/3,692.22
  6. Step 6: Final answer
    x = 2,896.04

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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.