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Finding the Fourth Proportional to 4,867.72, 7,304.36 and 1,906.41

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Solution

The fourth proportional to 4,867.72, 7,304.36 and 1,906.41 is: 2,860.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.72 : 7,304.36 = 1,906.41 : x
  2. Step 2: Convert to fraction form
    4,867.72/7,304.36 = 1,906.41/x
  3. Step 3: Cross multiply
    4,867.72x = 7,304.36 × 1,906.41
  4. Step 4: Simplify right side
    4,867.72x = 13,925,104.95
  5. Step 5: Solve for x
    x = 13,925,104.95/4,867.72
  6. Step 6: Final answer
    x = 2,860.70

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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.