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Finding the Fourth Proportional to 5,220.05, 7,833.31 and 3,829.95

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Solution

The fourth proportional to 5,220.05, 7,833.31 and 3,829.95 is: 5,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.05 : 7,833.31 = 3,829.95 : x
  2. Step 2: Convert to fraction form
    5,220.05/7,833.31 = 3,829.95/x
  3. Step 3: Cross multiply
    5,220.05x = 7,833.31 × 3,829.95
  4. Step 4: Simplify right side
    5,220.05x = 30,001,176.06
  5. Step 5: Solve for x
    x = 30,001,176.06/5,220.05
  6. Step 6: Final answer
    x = 5,747.30

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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.