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Finding the Fourth Proportional to 3,677.96, 5,073.84 and 2,105.16

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Solution

The fourth proportional to 3,677.96, 5,073.84 and 2,105.16 is: 2,904.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.96 : 5,073.84 = 2,105.16 : x
  2. Step 2: Convert to fraction form
    3,677.96/5,073.84 = 2,105.16/x
  3. Step 3: Cross multiply
    3,677.96x = 5,073.84 × 2,105.16
  4. Step 4: Simplify right side
    3,677.96x = 10,681,245.01
  5. Step 5: Solve for x
    x = 10,681,245.01/3,677.96
  6. Step 6: Final answer
    x = 2,904.12

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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.