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Finding the Fourth Proportional to 5,727.06, 7,844.12 and 5,390.82

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Solution

The fourth proportional to 5,727.06, 7,844.12 and 5,390.82 is: 7,383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.06 : 7,844.12 = 5,390.82 : x
  2. Step 2: Convert to fraction form
    5,727.06/7,844.12 = 5,390.82/x
  3. Step 3: Cross multiply
    5,727.06x = 7,844.12 × 5,390.82
  4. Step 4: Simplify right side
    5,727.06x = 42,286,238.98
  5. Step 5: Solve for x
    x = 42,286,238.98/5,727.06
  6. Step 6: Final answer
    x = 7,383.59

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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.