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Finding the Fourth Proportional to 5,473.61, 8,202.78 and 4,138.30

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Solution

The fourth proportional to 5,473.61, 8,202.78 and 4,138.30 is: 6,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.61 : 8,202.78 = 4,138.30 : x
  2. Step 2: Convert to fraction form
    5,473.61/8,202.78 = 4,138.30/x
  3. Step 3: Cross multiply
    5,473.61x = 8,202.78 × 4,138.30
  4. Step 4: Simplify right side
    5,473.61x = 33,945,592.08
  5. Step 5: Solve for x
    x = 33,945,592.08/5,473.61
  6. Step 6: Final answer
    x = 6,201.68

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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.