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Finding the Fourth Proportional to 5,640.31, 7,783.23 and 3,371.64

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Solution

The fourth proportional to 5,640.31, 7,783.23 and 3,371.64 is: 4,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.31 : 7,783.23 = 3,371.64 : x
  2. Step 2: Convert to fraction form
    5,640.31/7,783.23 = 3,371.64/x
  3. Step 3: Cross multiply
    5,640.31x = 7,783.23 × 3,371.64
  4. Step 4: Simplify right side
    5,640.31x = 26,242,249.60
  5. Step 5: Solve for x
    x = 26,242,249.60/5,640.31
  6. Step 6: Final answer
    x = 4,652.63

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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.