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Finding the Fourth Proportional to 4,727.57, 7,092.56 and 3,901.97

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Solution

The fourth proportional to 4,727.57, 7,092.56 and 3,901.97 is: 5,853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.57 : 7,092.56 = 3,901.97 : x
  2. Step 2: Convert to fraction form
    4,727.57/7,092.56 = 3,901.97/x
  3. Step 3: Cross multiply
    4,727.57x = 7,092.56 × 3,901.97
  4. Step 4: Simplify right side
    4,727.57x = 27,674,983.83
  5. Step 5: Solve for x
    x = 27,674,983.83/4,727.57
  6. Step 6: Final answer
    x = 5,853.96

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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.