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Finding the Fourth Proportional to 3,969.50, 5,952.77 and 3,187.58

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Solution

The fourth proportional to 3,969.50, 5,952.77 and 3,187.58 is: 4,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.50 : 5,952.77 = 3,187.58 : x
  2. Step 2: Convert to fraction form
    3,969.50/5,952.77 = 3,187.58/x
  3. Step 3: Cross multiply
    3,969.50x = 5,952.77 × 3,187.58
  4. Step 4: Simplify right side
    3,969.50x = 18,974,914.66
  5. Step 5: Solve for x
    x = 18,974,914.66/3,969.50
  6. Step 6: Final answer
    x = 4,780.18

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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.