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Finding the Fourth Proportional to 3,609.72, 5,414.04 and 1,419.93

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Solution

The fourth proportional to 3,609.72, 5,414.04 and 1,419.93 is: 2,129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.72 : 5,414.04 = 1,419.93 : x
  2. Step 2: Convert to fraction form
    3,609.72/5,414.04 = 1,419.93/x
  3. Step 3: Cross multiply
    3,609.72x = 5,414.04 × 1,419.93
  4. Step 4: Simplify right side
    3,609.72x = 7,687,557.82
  5. Step 5: Solve for x
    x = 7,687,557.82/3,609.72
  6. Step 6: Final answer
    x = 2,129.68

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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.