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Finding the Fourth Proportional to 3,349.44, 5,023.01 and 1,157.66

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Solution

The fourth proportional to 3,349.44, 5,023.01 and 1,157.66 is: 1,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.44 : 5,023.01 = 1,157.66 : x
  2. Step 2: Convert to fraction form
    3,349.44/5,023.01 = 1,157.66/x
  3. Step 3: Cross multiply
    3,349.44x = 5,023.01 × 1,157.66
  4. Step 4: Simplify right side
    3,349.44x = 5,814,906.85
  5. Step 5: Solve for x
    x = 5,814,906.85/3,349.44
  6. Step 6: Final answer
    x = 1,736.08

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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.