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Finding the Fourth Proportional to 3,902.52, 5,383.44 and 2,643.66

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Solution

The fourth proportional to 3,902.52, 5,383.44 and 2,643.66 is: 3,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.52 : 5,383.44 = 2,643.66 : x
  2. Step 2: Convert to fraction form
    3,902.52/5,383.44 = 2,643.66/x
  3. Step 3: Cross multiply
    3,902.52x = 5,383.44 × 2,643.66
  4. Step 4: Simplify right side
    3,902.52x = 14,231,984.99
  5. Step 5: Solve for x
    x = 14,231,984.99/3,902.52
  6. Step 6: Final answer
    x = 3,646.87

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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.