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Finding the Fourth Proportional to 3,777.56, 5,213.39 and 2,285.85

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Solution

The fourth proportional to 3,777.56, 5,213.39 and 2,285.85 is: 3,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.56 : 5,213.39 = 2,285.85 : x
  2. Step 2: Convert to fraction form
    3,777.56/5,213.39 = 2,285.85/x
  3. Step 3: Cross multiply
    3,777.56x = 5,213.39 × 2,285.85
  4. Step 4: Simplify right side
    3,777.56x = 11,916,990.04
  5. Step 5: Solve for x
    x = 11,916,990.04/3,777.56
  6. Step 6: Final answer
    x = 3,154.68

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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.