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Finding the Fourth Proportional to 3,642.00, 5,027.16 and 2,383.86

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Solution

The fourth proportional to 3,642.00, 5,027.16 and 2,383.86 is: 3,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.00 : 5,027.16 = 2,383.86 : x
  2. Step 2: Convert to fraction form
    3,642.00/5,027.16 = 2,383.86/x
  3. Step 3: Cross multiply
    3,642.00x = 5,027.16 × 2,383.86
  4. Step 4: Simplify right side
    3,642.00x = 11,984,073.43
  5. Step 5: Solve for x
    x = 11,984,073.43/3,642.00
  6. Step 6: Final answer
    x = 3,290.52

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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.