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Finding the Fourth Proportional to 5,229.25, 7,843.65 and 1,333.54

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Solution

The fourth proportional to 5,229.25, 7,843.65 and 1,333.54 is: 2,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.25 : 7,843.65 = 1,333.54 : x
  2. Step 2: Convert to fraction form
    5,229.25/7,843.65 = 1,333.54/x
  3. Step 3: Cross multiply
    5,229.25x = 7,843.65 × 1,333.54
  4. Step 4: Simplify right side
    5,229.25x = 10,459,821.02
  5. Step 5: Solve for x
    x = 10,459,821.02/5,229.25
  6. Step 6: Final answer
    x = 2,000.25

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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.