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Finding the Fourth Proportional to 5,899.77, 8,141.72 and 3,382.04

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Solution

The fourth proportional to 5,899.77, 8,141.72 and 3,382.04 is: 4,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.77 : 8,141.72 = 3,382.04 : x
  2. Step 2: Convert to fraction form
    5,899.77/8,141.72 = 3,382.04/x
  3. Step 3: Cross multiply
    5,899.77x = 8,141.72 × 3,382.04
  4. Step 4: Simplify right side
    5,899.77x = 27,535,565.09
  5. Step 5: Solve for x
    x = 27,535,565.09/5,899.77
  6. Step 6: Final answer
    x = 4,667.22

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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.