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Finding the Fourth Proportional to 4,422.84, 6,100.38 and 3,664.23

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Solution

The fourth proportional to 4,422.84, 6,100.38 and 3,664.23 is: 5,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,422.84 : 6,100.38 = 3,664.23 : x
  2. Step 2: Convert to fraction form
    4,422.84/6,100.38 = 3,664.23/x
  3. Step 3: Cross multiply
    4,422.84x = 6,100.38 × 3,664.23
  4. Step 4: Simplify right side
    4,422.84x = 22,353,195.41
  5. Step 5: Solve for x
    x = 22,353,195.41/4,422.84
  6. Step 6: Final answer
    x = 5,054.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.