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Finding the Fourth Proportional to 4,634.08, 6,949.49 and 2,000.87

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Solution

The fourth proportional to 4,634.08, 6,949.49 and 2,000.87 is: 3,000.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.08 : 6,949.49 = 2,000.87 : x
  2. Step 2: Convert to fraction form
    4,634.08/6,949.49 = 2,000.87/x
  3. Step 3: Cross multiply
    4,634.08x = 6,949.49 × 2,000.87
  4. Step 4: Simplify right side
    4,634.08x = 13,904,981.30
  5. Step 5: Solve for x
    x = 13,904,981.30/4,634.08
  6. Step 6: Final answer
    x = 3,000.59

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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.