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Finding the Fourth Proportional to 3,742.26, 5,613.17 and 1,109.66

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Solution

The fourth proportional to 3,742.26, 5,613.17 and 1,109.66 is: 1,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.26 : 5,613.17 = 1,109.66 : x
  2. Step 2: Convert to fraction form
    3,742.26/5,613.17 = 1,109.66/x
  3. Step 3: Cross multiply
    3,742.26x = 5,613.17 × 1,109.66
  4. Step 4: Simplify right side
    3,742.26x = 6,228,676.61
  5. Step 5: Solve for x
    x = 6,228,676.61/3,742.26
  6. Step 6: Final answer
    x = 1,664.42

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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.