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Finding the Fourth Proportional to 3,642.33, 5,028.08 and 2,383.44

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Solution

The fourth proportional to 3,642.33, 5,028.08 and 2,383.44 is: 3,290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.33 : 5,028.08 = 2,383.44 : x
  2. Step 2: Convert to fraction form
    3,642.33/5,028.08 = 2,383.44/x
  3. Step 3: Cross multiply
    3,642.33x = 5,028.08 × 2,383.44
  4. Step 4: Simplify right side
    3,642.33x = 11,984,124.51
  5. Step 5: Solve for x
    x = 11,984,124.51/3,642.33
  6. Step 6: Final answer
    x = 3,290.23

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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.