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Finding the Fourth Proportional to 4,644.13, 6,966.26 and 1,722.44

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Solution

The fourth proportional to 4,644.13, 6,966.26 and 1,722.44 is: 2,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.13 : 6,966.26 = 1,722.44 : x
  2. Step 2: Convert to fraction form
    4,644.13/6,966.26 = 1,722.44/x
  3. Step 3: Cross multiply
    4,644.13x = 6,966.26 × 1,722.44
  4. Step 4: Simplify right side
    4,644.13x = 11,998,964.87
  5. Step 5: Solve for x
    x = 11,998,964.87/4,644.13
  6. Step 6: Final answer
    x = 2,583.68

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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.