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Finding the Fourth Proportional to 3,612.72, 5,414.40 and 1,419.60

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Solution

The fourth proportional to 3,612.72, 5,414.40 and 1,419.60 is: 2,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.72 : 5,414.40 = 1,419.60 : x
  2. Step 2: Convert to fraction form
    3,612.72/5,414.40 = 1,419.60/x
  3. Step 3: Cross multiply
    3,612.72x = 5,414.40 × 1,419.60
  4. Step 4: Simplify right side
    3,612.72x = 7,686,282.24
  5. Step 5: Solve for x
    x = 7,686,282.24/3,612.72
  6. Step 6: Final answer
    x = 2,127.56

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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.