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Finding the Fourth Proportional to 3,404.35, 4,697.76 and 1,911.99

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Solution

The fourth proportional to 3,404.35, 4,697.76 and 1,911.99 is: 2,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.35 : 4,697.76 = 1,911.99 : x
  2. Step 2: Convert to fraction form
    3,404.35/4,697.76 = 1,911.99/x
  3. Step 3: Cross multiply
    3,404.35x = 4,697.76 × 1,911.99
  4. Step 4: Simplify right side
    3,404.35x = 8,982,070.14
  5. Step 5: Solve for x
    x = 8,982,070.14/3,404.35
  6. Step 6: Final answer
    x = 2,638.41

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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.