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Finding the Fourth Proportional to 3,677.37, 5,074.65 and 2,105.16

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Solution

The fourth proportional to 3,677.37, 5,074.65 and 2,105.16 is: 2,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.37 : 5,074.65 = 2,105.16 : x
  2. Step 2: Convert to fraction form
    3,677.37/5,074.65 = 2,105.16/x
  3. Step 3: Cross multiply
    3,677.37x = 5,074.65 × 2,105.16
  4. Step 4: Simplify right side
    3,677.37x = 10,682,950.19
  5. Step 5: Solve for x
    x = 10,682,950.19/3,677.37
  6. Step 6: Final answer
    x = 2,905.05

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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.