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Finding the Fourth Proportional to 5,348.80, 8,023.20 and 3,707.20

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Solution

The fourth proportional to 5,348.80, 8,023.20 and 3,707.20 is: 5,560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.80 : 8,023.20 = 3,707.20 : x
  2. Step 2: Convert to fraction form
    5,348.80/8,023.20 = 3,707.20/x
  3. Step 3: Cross multiply
    5,348.80x = 8,023.20 × 3,707.20
  4. Step 4: Simplify right side
    5,348.80x = 29,743,607.04
  5. Step 5: Solve for x
    x = 29,743,607.04/5,348.80
  6. Step 6: Final answer
    x = 5,560.80

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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.