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Finding the Fourth Proportional to 3,367.43, 5,051.83 and 1,419.64

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Solution

The fourth proportional to 3,367.43, 5,051.83 and 1,419.64 is: 2,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.43 : 5,051.83 = 1,419.64 : x
  2. Step 2: Convert to fraction form
    3,367.43/5,051.83 = 1,419.64/x
  3. Step 3: Cross multiply
    3,367.43x = 5,051.83 × 1,419.64
  4. Step 4: Simplify right side
    3,367.43x = 7,171,779.94
  5. Step 5: Solve for x
    x = 7,171,779.94/3,367.43
  6. Step 6: Final answer
    x = 2,129.75

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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.