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Finding the Fourth Proportional to 5,786.88, 7,985.82 and 3,268.95

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Solution

The fourth proportional to 5,786.88, 7,985.82 and 3,268.95 is: 4,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.88 : 7,985.82 = 3,268.95 : x
  2. Step 2: Convert to fraction form
    5,786.88/7,985.82 = 3,268.95/x
  3. Step 3: Cross multiply
    5,786.88x = 7,985.82 × 3,268.95
  4. Step 4: Simplify right side
    5,786.88x = 26,105,246.29
  5. Step 5: Solve for x
    x = 26,105,246.29/5,786.88
  6. Step 6: Final answer
    x = 4,511.11

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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.