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Finding the Fourth Proportional to 3,677.46, 5,073.87 and 2,105.46

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Solution

The fourth proportional to 3,677.46, 5,073.87 and 2,105.46 is: 2,904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.46 : 5,073.87 = 2,105.46 : x
  2. Step 2: Convert to fraction form
    3,677.46/5,073.87 = 2,105.46/x
  3. Step 3: Cross multiply
    3,677.46x = 5,073.87 × 2,105.46
  4. Step 4: Simplify right side
    3,677.46x = 10,682,830.33
  5. Step 5: Solve for x
    x = 10,682,830.33/3,677.46
  6. Step 6: Final answer
    x = 2,904.95

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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.