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Finding the Fourth Proportional to 5,836.32, 8,029.44 and 5,086.56

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Solution

The fourth proportional to 5,836.32, 8,029.44 and 5,086.56 is: 6,997.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.32 : 8,029.44 = 5,086.56 : x
  2. Step 2: Convert to fraction form
    5,836.32/8,029.44 = 5,086.56/x
  3. Step 3: Cross multiply
    5,836.32x = 8,029.44 × 5,086.56
  4. Step 4: Simplify right side
    5,836.32x = 40,842,228.33
  5. Step 5: Solve for x
    x = 40,842,228.33/5,836.32
  6. Step 6: Final answer
    x = 6,997.94

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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.