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Finding the Fourth Proportional to 3,677.79, 5,075.15 and 2,105.99

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Solution

The fourth proportional to 3,677.79, 5,075.15 and 2,105.99 is: 2,906.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.79 : 5,075.15 = 2,105.99 : x
  2. Step 2: Convert to fraction form
    3,677.79/5,075.15 = 2,105.99/x
  3. Step 3: Cross multiply
    3,677.79x = 5,075.15 × 2,105.99
  4. Step 4: Simplify right side
    3,677.79x = 10,688,179.24
  5. Step 5: Solve for x
    x = 10,688,179.24/3,677.79
  6. Step 6: Final answer
    x = 2,906.14

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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.