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Finding the Fourth Proportional to 3,404.21, 4,697.96 and 1,912.10

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Solution

The fourth proportional to 3,404.21, 4,697.96 and 1,912.10 is: 2,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.21 : 4,697.96 = 1,912.10 : x
  2. Step 2: Convert to fraction form
    3,404.21/4,697.96 = 1,912.10/x
  3. Step 3: Cross multiply
    3,404.21x = 4,697.96 × 1,912.10
  4. Step 4: Simplify right side
    3,404.21x = 8,982,971.50
  5. Step 5: Solve for x
    x = 8,982,971.50/3,404.21
  6. Step 6: Final answer
    x = 2,638.78

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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.