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Finding the Fourth Proportional to 3,362.32, 5,043.89 and 1,414.27

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Solution

The fourth proportional to 3,362.32, 5,043.89 and 1,414.27 is: 2,121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.32 : 5,043.89 = 1,414.27 : x
  2. Step 2: Convert to fraction form
    3,362.32/5,043.89 = 1,414.27/x
  3. Step 3: Cross multiply
    3,362.32x = 5,043.89 × 1,414.27
  4. Step 4: Simplify right side
    3,362.32x = 7,133,422.31
  5. Step 5: Solve for x
    x = 7,133,422.31/3,362.32
  6. Step 6: Final answer
    x = 2,121.58

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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.