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Finding the Fourth Proportional to 3,728.45, 5,592.83 and 955.22

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Solution

The fourth proportional to 3,728.45, 5,592.83 and 955.22 is: 1,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.45 : 5,592.83 = 955.22 : x
  2. Step 2: Convert to fraction form
    3,728.45/5,592.83 = 955.22/x
  3. Step 3: Cross multiply
    3,728.45x = 5,592.83 × 955.22
  4. Step 4: Simplify right side
    3,728.45x = 5,342,350.33
  5. Step 5: Solve for x
    x = 5,342,350.33/3,728.45
  6. Step 6: Final answer
    x = 1,432.86

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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.