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Finding the Fourth Proportional to 3,383.08, 5,071.17 and 2,287.55

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Solution

The fourth proportional to 3,383.08, 5,071.17 and 2,287.55 is: 3,428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.08 : 5,071.17 = 2,287.55 : x
  2. Step 2: Convert to fraction form
    3,383.08/5,071.17 = 2,287.55/x
  3. Step 3: Cross multiply
    3,383.08x = 5,071.17 × 2,287.55
  4. Step 4: Simplify right side
    3,383.08x = 11,600,554.93
  5. Step 5: Solve for x
    x = 11,600,554.93/3,383.08
  6. Step 6: Final answer
    x = 3,428.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.