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Finding the Fourth Proportional to 5,640.10, 7,783.22 and 3,122.21

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Solution

The fourth proportional to 5,640.10, 7,783.22 and 3,122.21 is: 4,308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.10 : 7,783.22 = 3,122.21 : x
  2. Step 2: Convert to fraction form
    5,640.10/7,783.22 = 3,122.21/x
  3. Step 3: Cross multiply
    5,640.10x = 7,783.22 × 3,122.21
  4. Step 4: Simplify right side
    5,640.10x = 24,300,808.40
  5. Step 5: Solve for x
    x = 24,300,808.40/5,640.10
  6. Step 6: Final answer
    x = 4,308.58

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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.