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Finding the Fourth Proportional to 3,404.30, 4,697.56 and 1,912.38

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Solution

The fourth proportional to 3,404.30, 4,697.56 and 1,912.38 is: 2,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.30 : 4,697.56 = 1,912.38 : x
  2. Step 2: Convert to fraction form
    3,404.30/4,697.56 = 1,912.38/x
  3. Step 3: Cross multiply
    3,404.30x = 4,697.56 × 1,912.38
  4. Step 4: Simplify right side
    3,404.30x = 8,983,504.57
  5. Step 5: Solve for x
    x = 8,983,504.57/3,404.30
  6. Step 6: Final answer
    x = 2,638.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.