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Finding the Fourth Proportional to 5,333.70, 8,004.15 and 3,480.30

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Solution

The fourth proportional to 5,333.70, 8,004.15 and 3,480.30 is: 5,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.70 : 8,004.15 = 3,480.30 : x
  2. Step 2: Convert to fraction form
    5,333.70/8,004.15 = 3,480.30/x
  3. Step 3: Cross multiply
    5,333.70x = 8,004.15 × 3,480.30
  4. Step 4: Simplify right side
    5,333.70x = 27,856,843.25
  5. Step 5: Solve for x
    x = 27,856,843.25/5,333.70
  6. Step 6: Final answer
    x = 5,222.80

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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.