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Finding the Fourth Proportional to 3,943.08, 5,913.09 and 1,310.49

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Solution

The fourth proportional to 3,943.08, 5,913.09 and 1,310.49 is: 1,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.08 : 5,913.09 = 1,310.49 : x
  2. Step 2: Convert to fraction form
    3,943.08/5,913.09 = 1,310.49/x
  3. Step 3: Cross multiply
    3,943.08x = 5,913.09 × 1,310.49
  4. Step 4: Simplify right side
    3,943.08x = 7,749,045.31
  5. Step 5: Solve for x
    x = 7,749,045.31/3,943.08
  6. Step 6: Final answer
    x = 1,965.23

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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.