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Finding the Fourth Proportional to 3,794.34, 5,691.36 and 1,161.74

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Solution

The fourth proportional to 3,794.34, 5,691.36 and 1,161.74 is: 1,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.34 : 5,691.36 = 1,161.74 : x
  2. Step 2: Convert to fraction form
    3,794.34/5,691.36 = 1,161.74/x
  3. Step 3: Cross multiply
    3,794.34x = 5,691.36 × 1,161.74
  4. Step 4: Simplify right side
    3,794.34x = 6,611,899.15
  5. Step 5: Solve for x
    x = 6,611,899.15/3,794.34
  6. Step 6: Final answer
    x = 1,742.57

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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.