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Finding the Fourth Proportional to 4,102.05, 5,661.42 and 2,333.82

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Solution

The fourth proportional to 4,102.05, 5,661.42 and 2,333.82 is: 3,221.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.05 : 5,661.42 = 2,333.82 : x
  2. Step 2: Convert to fraction form
    4,102.05/5,661.42 = 2,333.82/x
  3. Step 3: Cross multiply
    4,102.05x = 5,661.42 × 2,333.82
  4. Step 4: Simplify right side
    4,102.05x = 13,212,735.22
  5. Step 5: Solve for x
    x = 13,212,735.22/4,102.05
  6. Step 6: Final answer
    x = 3,221.01

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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.