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Finding the Fourth Proportional to 3,677.64, 5,075.21 and 2,105.73

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Solution

The fourth proportional to 3,677.64, 5,075.21 and 2,105.73 is: 2,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.64 : 5,075.21 = 2,105.73 : x
  2. Step 2: Convert to fraction form
    3,677.64/5,075.21 = 2,105.73/x
  3. Step 3: Cross multiply
    3,677.64x = 5,075.21 × 2,105.73
  4. Step 4: Simplify right side
    3,677.64x = 10,687,021.95
  5. Step 5: Solve for x
    x = 10,687,021.95/3,677.64
  6. Step 6: Final answer
    x = 2,905.95

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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.