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Finding the Fourth Proportional to 3,612.22, 5,419.20 and 1,421.56

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Solution

The fourth proportional to 3,612.22, 5,419.20 and 1,421.56 is: 2,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.22 : 5,419.20 = 1,421.56 : x
  2. Step 2: Convert to fraction form
    3,612.22/5,419.20 = 1,421.56/x
  3. Step 3: Cross multiply
    3,612.22x = 5,419.20 × 1,421.56
  4. Step 4: Simplify right side
    3,612.22x = 7,703,717.95
  5. Step 5: Solve for x
    x = 7,703,717.95/3,612.22
  6. Step 6: Final answer
    x = 2,132.68

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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.