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Finding the Fourth Proportional to 5,935.61, 8,189.51 and 4,141.19

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Solution

The fourth proportional to 5,935.61, 8,189.51 and 4,141.19 is: 5,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.61 : 8,189.51 = 4,141.19 : x
  2. Step 2: Convert to fraction form
    5,935.61/8,189.51 = 4,141.19/x
  3. Step 3: Cross multiply
    5,935.61x = 8,189.51 × 4,141.19
  4. Step 4: Simplify right side
    5,935.61x = 33,914,316.68
  5. Step 5: Solve for x
    x = 33,914,316.68/5,935.61
  6. Step 6: Final answer
    x = 5,713.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.