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Finding the Fourth Proportional to 5,901.39, 8,091.14 and 5,796.09

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Solution

The fourth proportional to 5,901.39, 8,091.14 and 5,796.09 is: 7,946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.39 : 8,091.14 = 5,796.09 : x
  2. Step 2: Convert to fraction form
    5,901.39/8,091.14 = 5,796.09/x
  3. Step 3: Cross multiply
    5,901.39x = 8,091.14 × 5,796.09
  4. Step 4: Simplify right side
    5,901.39x = 46,896,946.66
  5. Step 5: Solve for x
    x = 46,896,946.66/5,901.39
  6. Step 6: Final answer
    x = 7,946.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.