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Finding the Fourth Proportional to 4,664.77, 6,997.86 and 1,891.63

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Solution

The fourth proportional to 4,664.77, 6,997.86 and 1,891.63 is: 2,837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.77 : 6,997.86 = 1,891.63 : x
  2. Step 2: Convert to fraction form
    4,664.77/6,997.86 = 1,891.63/x
  3. Step 3: Cross multiply
    4,664.77x = 6,997.86 × 1,891.63
  4. Step 4: Simplify right side
    4,664.77x = 13,237,361.91
  5. Step 5: Solve for x
    x = 13,237,361.91/4,664.77
  6. Step 6: Final answer
    x = 2,837.73

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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.