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Finding the Fourth Proportional to 3,700.56, 5,550.83 and 927.23

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Solution

The fourth proportional to 3,700.56, 5,550.83 and 927.23 is: 1,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.56 : 5,550.83 = 927.23 : x
  2. Step 2: Convert to fraction form
    3,700.56/5,550.83 = 927.23/x
  3. Step 3: Cross multiply
    3,700.56x = 5,550.83 × 927.23
  4. Step 4: Simplify right side
    3,700.56x = 5,146,863.71
  5. Step 5: Solve for x
    x = 5,146,863.71/3,700.56
  6. Step 6: Final answer
    x = 1,390.83

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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.