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Finding the Fourth Proportional to 4,967.91, 7,446.74 and 1,845.09

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Solution

The fourth proportional to 4,967.91, 7,446.74 and 1,845.09 is: 2,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.91 : 7,446.74 = 1,845.09 : x
  2. Step 2: Convert to fraction form
    4,967.91/7,446.74 = 1,845.09/x
  3. Step 3: Cross multiply
    4,967.91x = 7,446.74 × 1,845.09
  4. Step 4: Simplify right side
    4,967.91x = 13,739,896.28
  5. Step 5: Solve for x
    x = 13,739,896.28/4,967.91
  6. Step 6: Final answer
    x = 2,765.73

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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.