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Finding the Fourth Proportional to 3,489, 4,815.90 and 2,247

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Solution

The fourth proportional to 3,489, 4,815.90 and 2,247 is: 3,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489 : 4,815.90 = 2,247 : x
  2. Step 2: Convert to fraction form
    3,489/4,815.90 = 2,247/x
  3. Step 3: Cross multiply
    3,489x = 4,815.90 × 2,247
  4. Step 4: Simplify right side
    3,489x = 10,821,327.30
  5. Step 5: Solve for x
    x = 10,821,327.30/3,489
  6. Step 6: Final answer
    x = 3,101.56

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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.