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Finding the Fourth Proportional to 3,948.98, 5,923.23 and 1,175.66

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Solution

The fourth proportional to 3,948.98, 5,923.23 and 1,175.66 is: 1,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.98 : 5,923.23 = 1,175.66 : x
  2. Step 2: Convert to fraction form
    3,948.98/5,923.23 = 1,175.66/x
  3. Step 3: Cross multiply
    3,948.98x = 5,923.23 × 1,175.66
  4. Step 4: Simplify right side
    3,948.98x = 6,963,704.58
  5. Step 5: Solve for x
    x = 6,963,704.58/3,948.98
  6. Step 6: Final answer
    x = 1,763.42

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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.