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Finding the Fourth Proportional to 5,728.22, 8,575.03 and 5,180.66

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Solution

The fourth proportional to 5,728.22, 8,575.03 and 5,180.66 is: 7,755.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.22 : 8,575.03 = 5,180.66 : x
  2. Step 2: Convert to fraction form
    5,728.22/8,575.03 = 5,180.66/x
  3. Step 3: Cross multiply
    5,728.22x = 8,575.03 × 5,180.66
  4. Step 4: Simplify right side
    5,728.22x = 44,424,314.92
  5. Step 5: Solve for x
    x = 44,424,314.92/5,728.22
  6. Step 6: Final answer
    x = 7,755.34

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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.