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Finding the Fourth Proportional to 5,220.37, 7,832.27 and 1,933.71

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Solution

The fourth proportional to 5,220.37, 7,832.27 and 1,933.71 is: 2,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.37 : 7,832.27 = 1,933.71 : x
  2. Step 2: Convert to fraction form
    5,220.37/7,832.27 = 1,933.71/x
  3. Step 3: Cross multiply
    5,220.37x = 7,832.27 × 1,933.71
  4. Step 4: Simplify right side
    5,220.37x = 15,145,338.82
  5. Step 5: Solve for x
    x = 15,145,338.82/5,220.37
  6. Step 6: Final answer
    x = 2,901.20

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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.