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Finding the Fourth Proportional to 3,950.98, 5,926.23 and 1,177.66

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Solution

The fourth proportional to 3,950.98, 5,926.23 and 1,177.66 is: 1,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.98 : 5,926.23 = 1,177.66 : x
  2. Step 2: Convert to fraction form
    3,950.98/5,926.23 = 1,177.66/x
  3. Step 3: Cross multiply
    3,950.98x = 5,926.23 × 1,177.66
  4. Step 4: Simplify right side
    3,950.98x = 6,979,084.02
  5. Step 5: Solve for x
    x = 6,979,084.02/3,950.98
  6. Step 6: Final answer
    x = 1,766.42

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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.