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Finding the Fourth Proportional to 5,227.21, 7,829.83 and 4,243.33

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Solution

The fourth proportional to 5,227.21, 7,829.83 and 4,243.33 is: 6,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.21 : 7,829.83 = 4,243.33 : x
  2. Step 2: Convert to fraction form
    5,227.21/7,829.83 = 4,243.33/x
  3. Step 3: Cross multiply
    5,227.21x = 7,829.83 × 4,243.33
  4. Step 4: Simplify right side
    5,227.21x = 33,224,552.53
  5. Step 5: Solve for x
    x = 33,224,552.53/5,227.21
  6. Step 6: Final answer
    x = 6,356.08

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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.