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Finding the Fourth Proportional to 3,773.10, 5,660.22 and 1,175.42

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Solution

The fourth proportional to 3,773.10, 5,660.22 and 1,175.42 is: 1,763.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.10 : 5,660.22 = 1,175.42 : x
  2. Step 2: Convert to fraction form
    3,773.10/5,660.22 = 1,175.42/x
  3. Step 3: Cross multiply
    3,773.10x = 5,660.22 × 1,175.42
  4. Step 4: Simplify right side
    3,773.10x = 6,653,135.79
  5. Step 5: Solve for x
    x = 6,653,135.79/3,773.10
  6. Step 6: Final answer
    x = 1,763.31

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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.