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Finding the Fourth Proportional to 4,380, 6,027.12 and 3,327.84

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Solution

The fourth proportional to 4,380, 6,027.12 and 3,327.84 is: 4,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380 : 6,027.12 = 3,327.84 : x
  2. Step 2: Convert to fraction form
    4,380/6,027.12 = 3,327.84/x
  3. Step 3: Cross multiply
    4,380x = 6,027.12 × 3,327.84
  4. Step 4: Simplify right side
    4,380x = 20,057,291.02
  5. Step 5: Solve for x
    x = 20,057,291.02/4,380
  6. Step 6: Final answer
    x = 4,579.29

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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.