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Finding the Fourth Proportional to 3,294.35, 4,937.11 and 1,811.34

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Solution

The fourth proportional to 3,294.35, 4,937.11 and 1,811.34 is: 2,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.35 : 4,937.11 = 1,811.34 : x
  2. Step 2: Convert to fraction form
    3,294.35/4,937.11 = 1,811.34/x
  3. Step 3: Cross multiply
    3,294.35x = 4,937.11 × 1,811.34
  4. Step 4: Simplify right side
    3,294.35x = 8,942,784.83
  5. Step 5: Solve for x
    x = 8,942,784.83/3,294.35
  6. Step 6: Final answer
    x = 2,714.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.