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Finding the Fourth Proportional to 5,822.70, 8,727.81 and 3,046.56

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Solution

The fourth proportional to 5,822.70, 8,727.81 and 3,046.56 is: 4,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.70 : 8,727.81 = 3,046.56 : x
  2. Step 2: Convert to fraction form
    5,822.70/8,727.81 = 3,046.56/x
  3. Step 3: Cross multiply
    5,822.70x = 8,727.81 × 3,046.56
  4. Step 4: Simplify right side
    5,822.70x = 26,589,796.83
  5. Step 5: Solve for x
    x = 26,589,796.83/5,822.70
  6. Step 6: Final answer
    x = 4,566.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.