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Finding the Fourth Proportional to 3,935.53, 5,901.53 and 1,161.23

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Solution

The fourth proportional to 3,935.53, 5,901.53 and 1,161.23 is: 1,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.53 : 5,901.53 = 1,161.23 : x
  2. Step 2: Convert to fraction form
    3,935.53/5,901.53 = 1,161.23/x
  3. Step 3: Cross multiply
    3,935.53x = 5,901.53 × 1,161.23
  4. Step 4: Simplify right side
    3,935.53x = 6,852,998.37
  5. Step 5: Solve for x
    x = 6,852,998.37/3,935.53
  6. Step 6: Final answer
    x = 1,741.32

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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.