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Finding the Fourth Proportional to 3,943.31, 5,916.10 and 1,170.05

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Solution

The fourth proportional to 3,943.31, 5,916.10 and 1,170.05 is: 1,755.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.31 : 5,916.10 = 1,170.05 : x
  2. Step 2: Convert to fraction form
    3,943.31/5,916.10 = 1,170.05/x
  3. Step 3: Cross multiply
    3,943.31x = 5,916.10 × 1,170.05
  4. Step 4: Simplify right side
    3,943.31x = 6,922,103.22
  5. Step 5: Solve for x
    x = 6,922,103.22/3,943.31
  6. Step 6: Final answer
    x = 1,755.41

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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.