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Finding the Fourth Proportional to 4,978.38, 7,469.47 and 2,203.12

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Solution

The fourth proportional to 4,978.38, 7,469.47 and 2,203.12 is: 3,305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.38 : 7,469.47 = 2,203.12 : x
  2. Step 2: Convert to fraction form
    4,978.38/7,469.47 = 2,203.12/x
  3. Step 3: Cross multiply
    4,978.38x = 7,469.47 × 2,203.12
  4. Step 4: Simplify right side
    4,978.38x = 16,456,096.43
  5. Step 5: Solve for x
    x = 16,456,096.43/4,978.38
  6. Step 6: Final answer
    x = 3,305.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.