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Finding the Fourth Proportional to 4,643.92, 6,967.36 and 1,722.64

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Solution

The fourth proportional to 4,643.92, 6,967.36 and 1,722.64 is: 2,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.92 : 6,967.36 = 1,722.64 : x
  2. Step 2: Convert to fraction form
    4,643.92/6,967.36 = 1,722.64/x
  3. Step 3: Cross multiply
    4,643.92x = 6,967.36 × 1,722.64
  4. Step 4: Simplify right side
    4,643.92x = 12,002,253.03
  5. Step 5: Solve for x
    x = 12,002,253.03/4,643.92
  6. Step 6: Final answer
    x = 2,584.51

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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.