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Finding the Fourth Proportional to 3,445.47, 5,168.22 and 1,105.83

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Solution

The fourth proportional to 3,445.47, 5,168.22 and 1,105.83 is: 1,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.47 : 5,168.22 = 1,105.83 : x
  2. Step 2: Convert to fraction form
    3,445.47/5,168.22 = 1,105.83/x
  3. Step 3: Cross multiply
    3,445.47x = 5,168.22 × 1,105.83
  4. Step 4: Simplify right side
    3,445.47x = 5,715,172.72
  5. Step 5: Solve for x
    x = 5,715,172.72/3,445.47
  6. Step 6: Final answer
    x = 1,658.75

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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.