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Finding the Fourth Proportional to 3,887.39, 5,832 and 2,037.56

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Solution

The fourth proportional to 3,887.39, 5,832 and 2,037.56 is: 3,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.39 : 5,832 = 2,037.56 : x
  2. Step 2: Convert to fraction form
    3,887.39/5,832 = 2,037.56/x
  3. Step 3: Cross multiply
    3,887.39x = 5,832 × 2,037.56
  4. Step 4: Simplify right side
    3,887.39x = 11,883,020.76
  5. Step 5: Solve for x
    x = 11,883,020.76/3,887.39
  6. Step 6: Final answer
    x = 3,056.81

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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.