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Finding the Fourth Proportional to 3,887.39, 5,751.81 and 3,876.46

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Solution

The fourth proportional to 3,887.39, 5,751.81 and 3,876.46 is: 5,735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.39 : 5,751.81 = 3,876.46 : x
  2. Step 2: Convert to fraction form
    3,887.39/5,751.81 = 3,876.46/x
  3. Step 3: Cross multiply
    3,887.39x = 5,751.81 × 3,876.46
  4. Step 4: Simplify right side
    3,887.39x = 22,296,647.01
  5. Step 5: Solve for x
    x = 22,296,647.01/3,887.39
  6. Step 6: Final answer
    x = 5,735.63

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.