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Finding the Fourth Proportional to 3,611.74, 5,416.24 and 1,419.27

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Solution

The fourth proportional to 3,611.74, 5,416.24 and 1,419.27 is: 2,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.74 : 5,416.24 = 1,419.27 : x
  2. Step 2: Convert to fraction form
    3,611.74/5,416.24 = 1,419.27/x
  3. Step 3: Cross multiply
    3,611.74x = 5,416.24 × 1,419.27
  4. Step 4: Simplify right side
    3,611.74x = 7,687,072.77
  5. Step 5: Solve for x
    x = 7,687,072.77/3,611.74
  6. Step 6: Final answer
    x = 2,128.36

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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.