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Finding the Fourth Proportional to 5,640.56, 7,783.96 and 3,122.80

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Solution

The fourth proportional to 5,640.56, 7,783.96 and 3,122.80 is: 4,309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.56 : 7,783.96 = 3,122.80 : x
  2. Step 2: Convert to fraction form
    5,640.56/7,783.96 = 3,122.80/x
  3. Step 3: Cross multiply
    5,640.56x = 7,783.96 × 3,122.80
  4. Step 4: Simplify right side
    5,640.56x = 24,307,750.29
  5. Step 5: Solve for x
    x = 24,307,750.29/5,640.56
  6. Step 6: Final answer
    x = 4,309.46

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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.