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Finding the Fourth Proportional to 5,402.70, 8,104.05 and 5,348.03

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Solution

The fourth proportional to 5,402.70, 8,104.05 and 5,348.03 is: 8,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.70 : 8,104.05 = 5,348.03 : x
  2. Step 2: Convert to fraction form
    5,402.70/8,104.05 = 5,348.03/x
  3. Step 3: Cross multiply
    5,402.70x = 8,104.05 × 5,348.03
  4. Step 4: Simplify right side
    5,402.70x = 43,340,662.00
  5. Step 5: Solve for x
    x = 43,340,662.00/5,402.70
  6. Step 6: Final answer
    x = 8,022.04

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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.