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Finding the Fourth Proportional to 5,640.22, 7,783.46 and 3,122.32

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Solution

The fourth proportional to 5,640.22, 7,783.46 and 3,122.32 is: 4,308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.22 : 7,783.46 = 3,122.32 : x
  2. Step 2: Convert to fraction form
    5,640.22/7,783.46 = 3,122.32/x
  3. Step 3: Cross multiply
    5,640.22x = 7,783.46 × 3,122.32
  4. Step 4: Simplify right side
    5,640.22x = 24,302,452.83
  5. Step 5: Solve for x
    x = 24,302,452.83/5,640.22
  6. Step 6: Final answer
    x = 4,308.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.