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Finding the Fourth Proportional to 5,640.06, 7,783.16 and 3,122.03

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Solution

The fourth proportional to 5,640.06, 7,783.16 and 3,122.03 is: 4,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.06 : 7,783.16 = 3,122.03 : x
  2. Step 2: Convert to fraction form
    5,640.06/7,783.16 = 3,122.03/x
  3. Step 3: Cross multiply
    5,640.06x = 7,783.16 × 3,122.03
  4. Step 4: Simplify right side
    5,640.06x = 24,299,204.49
  5. Step 5: Solve for x
    x = 24,299,204.49/5,640.06
  6. Step 6: Final answer
    x = 4,308.32

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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.