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Finding the Fourth Proportional to 3,881.80, 5,814.60 and 2,906.56

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Solution

The fourth proportional to 3,881.80, 5,814.60 and 2,906.56 is: 4,353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.80 : 5,814.60 = 2,906.56 : x
  2. Step 2: Convert to fraction form
    3,881.80/5,814.60 = 2,906.56/x
  3. Step 3: Cross multiply
    3,881.80x = 5,814.60 × 2,906.56
  4. Step 4: Simplify right side
    3,881.80x = 16,900,483.78
  5. Step 5: Solve for x
    x = 16,900,483.78/3,881.80
  6. Step 6: Final answer
    x = 4,353.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.