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Finding the Fourth Proportional to 3,404.34, 4,697.67 and 1,912.26

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Solution

The fourth proportional to 3,404.34, 4,697.67 and 1,912.26 is: 2,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.34 : 4,697.67 = 1,912.26 : x
  2. Step 2: Convert to fraction form
    3,404.34/4,697.67 = 1,912.26/x
  3. Step 3: Cross multiply
    3,404.34x = 4,697.67 × 1,912.26
  4. Step 4: Simplify right side
    3,404.34x = 8,983,166.43
  5. Step 5: Solve for x
    x = 8,983,166.43/3,404.34
  6. Step 6: Final answer
    x = 2,638.74

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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.