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Finding the Fourth Proportional to 3,185.27, 4,778.79 and 1,335.95

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Solution

The fourth proportional to 3,185.27, 4,778.79 and 1,335.95 is: 2,004.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.27 : 4,778.79 = 1,335.95 : x
  2. Step 2: Convert to fraction form
    3,185.27/4,778.79 = 1,335.95/x
  3. Step 3: Cross multiply
    3,185.27x = 4,778.79 × 1,335.95
  4. Step 4: Simplify right side
    3,185.27x = 6,384,224.50
  5. Step 5: Solve for x
    x = 6,384,224.50/3,185.27
  6. Step 6: Final answer
    x = 2,004.30

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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.