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Finding the Fourth Proportional to 3,950.26, 5,924.92 and 1,176.92

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Solution

The fourth proportional to 3,950.26, 5,924.92 and 1,176.92 is: 1,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.26 : 5,924.92 = 1,176.92 : x
  2. Step 2: Convert to fraction form
    3,950.26/5,924.92 = 1,176.92/x
  3. Step 3: Cross multiply
    3,950.26x = 5,924.92 × 1,176.92
  4. Step 4: Simplify right side
    3,950.26x = 6,973,156.85
  5. Step 5: Solve for x
    x = 6,973,156.85/3,950.26
  6. Step 6: Final answer
    x = 1,765.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.