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Finding the Fourth Proportional to 3,447.90, 5,166.18 and 2,146.64

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Solution

The fourth proportional to 3,447.90, 5,166.18 and 2,146.64 is: 3,216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.90 : 5,166.18 = 2,146.64 : x
  2. Step 2: Convert to fraction form
    3,447.90/5,166.18 = 2,146.64/x
  3. Step 3: Cross multiply
    3,447.90x = 5,166.18 × 2,146.64
  4. Step 4: Simplify right side
    3,447.90x = 11,089,902.80
  5. Step 5: Solve for x
    x = 11,089,902.80/3,447.90
  6. Step 6: Final answer
    x = 3,216.42

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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.