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Finding the Fourth Proportional to 3,943.68, 5,914.92 and 2,478.36

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Solution

The fourth proportional to 3,943.68, 5,914.92 and 2,478.36 is: 3,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.68 : 5,914.92 = 2,478.36 : x
  2. Step 2: Convert to fraction form
    3,943.68/5,914.92 = 2,478.36/x
  3. Step 3: Cross multiply
    3,943.68x = 5,914.92 × 2,478.36
  4. Step 4: Simplify right side
    3,943.68x = 14,659,301.13
  5. Step 5: Solve for x
    x = 14,659,301.13/3,943.68
  6. Step 6: Final answer
    x = 3,717.16

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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.