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Finding the Fourth Proportional to 3,794.19, 5,691.60 and 1,161.63

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Solution

The fourth proportional to 3,794.19, 5,691.60 and 1,161.63 is: 1,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.19 : 5,691.60 = 1,161.63 : x
  2. Step 2: Convert to fraction form
    3,794.19/5,691.60 = 1,161.63/x
  3. Step 3: Cross multiply
    3,794.19x = 5,691.60 × 1,161.63
  4. Step 4: Simplify right side
    3,794.19x = 6,611,533.31
  5. Step 5: Solve for x
    x = 6,611,533.31/3,794.19
  6. Step 6: Final answer
    x = 1,742.54

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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.