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Finding the Fourth Proportional to 3,376.29, 5,065.07 and 1,296.21

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Solution

The fourth proportional to 3,376.29, 5,065.07 and 1,296.21 is: 1,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.29 : 5,065.07 = 1,296.21 : x
  2. Step 2: Convert to fraction form
    3,376.29/5,065.07 = 1,296.21/x
  3. Step 3: Cross multiply
    3,376.29x = 5,065.07 × 1,296.21
  4. Step 4: Simplify right side
    3,376.29x = 6,565,387.90
  5. Step 5: Solve for x
    x = 6,565,387.90/3,376.29
  6. Step 6: Final answer
    x = 1,944.56

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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.