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Finding the Fourth Proportional to 3,382.00, 5,073.14 and 1,301.26

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Solution

The fourth proportional to 3,382.00, 5,073.14 and 1,301.26 is: 1,951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.00 : 5,073.14 = 1,301.26 : x
  2. Step 2: Convert to fraction form
    3,382.00/5,073.14 = 1,301.26/x
  3. Step 3: Cross multiply
    3,382.00x = 5,073.14 × 1,301.26
  4. Step 4: Simplify right side
    3,382.00x = 6,601,452.04
  5. Step 5: Solve for x
    x = 6,601,452.04/3,382.00
  6. Step 6: Final answer
    x = 1,951.94

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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.