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Finding the Fourth Proportional to 3,376.94, 5,061.96 and 1,296.41

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Solution

The fourth proportional to 3,376.94, 5,061.96 and 1,296.41 is: 1,943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.94 : 5,061.96 = 1,296.41 : x
  2. Step 2: Convert to fraction form
    3,376.94/5,061.96 = 1,296.41/x
  3. Step 3: Cross multiply
    3,376.94x = 5,061.96 × 1,296.41
  4. Step 4: Simplify right side
    3,376.94x = 6,562,350.25
  5. Step 5: Solve for x
    x = 6,562,350.25/3,376.94
  6. Step 6: Final answer
    x = 1,943.29

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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.