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Finding the Fourth Proportional to 4,644.38, 6,966.63 and 1,722.69

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Solution

The fourth proportional to 4,644.38, 6,966.63 and 1,722.69 is: 2,584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.38 : 6,966.63 = 1,722.69 : x
  2. Step 2: Convert to fraction form
    4,644.38/6,966.63 = 1,722.69/x
  3. Step 3: Cross multiply
    4,644.38x = 6,966.63 × 1,722.69
  4. Step 4: Simplify right side
    4,644.38x = 12,001,343.83
  5. Step 5: Solve for x
    x = 12,001,343.83/4,644.38
  6. Step 6: Final answer
    x = 2,584.06

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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.