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Finding the Fourth Proportional to 3,383.16, 5,072.34 and 1,301.88

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Solution

The fourth proportional to 3,383.16, 5,072.34 and 1,301.88 is: 1,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.16 : 5,072.34 = 1,301.88 : x
  2. Step 2: Convert to fraction form
    3,383.16/5,072.34 = 1,301.88/x
  3. Step 3: Cross multiply
    3,383.16x = 5,072.34 × 1,301.88
  4. Step 4: Simplify right side
    3,383.16x = 6,603,578.00
  5. Step 5: Solve for x
    x = 6,603,578.00/3,383.16
  6. Step 6: Final answer
    x = 1,951.90

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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.