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Finding the Fourth Proportional to 3,950.07, 5,923.21 and 1,175.77

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Solution

The fourth proportional to 3,950.07, 5,923.21 and 1,175.77 is: 1,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.07 : 5,923.21 = 1,175.77 : x
  2. Step 2: Convert to fraction form
    3,950.07/5,923.21 = 1,175.77/x
  3. Step 3: Cross multiply
    3,950.07x = 5,923.21 × 1,175.77
  4. Step 4: Simplify right side
    3,950.07x = 6,964,339.29
  5. Step 5: Solve for x
    x = 6,964,339.29/3,950.07
  6. Step 6: Final answer
    x = 1,763.09

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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.