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Finding the Fourth Proportional to 5,901.94, 8,142.07 and 3,659.32

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Solution

The fourth proportional to 5,901.94, 8,142.07 and 3,659.32 is: 5,048.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.94 : 8,142.07 = 3,659.32 : x
  2. Step 2: Convert to fraction form
    5,901.94/8,142.07 = 3,659.32/x
  3. Step 3: Cross multiply
    5,901.94x = 8,142.07 × 3,659.32
  4. Step 4: Simplify right side
    5,901.94x = 29,794,380.59
  5. Step 5: Solve for x
    x = 29,794,380.59/5,901.94
  6. Step 6: Final answer
    x = 5,048.24

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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.