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Finding the Fourth Proportional to 4,644.54, 6,967.38 and 1,722.86

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Solution

The fourth proportional to 4,644.54, 6,967.38 and 1,722.86 is: 2,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.54 : 6,967.38 = 1,722.86 : x
  2. Step 2: Convert to fraction form
    4,644.54/6,967.38 = 1,722.86/x
  3. Step 3: Cross multiply
    4,644.54x = 6,967.38 × 1,722.86
  4. Step 4: Simplify right side
    4,644.54x = 12,003,820.31
  5. Step 5: Solve for x
    x = 12,003,820.31/4,644.54
  6. Step 6: Final answer
    x = 2,584.50

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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.