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Finding the Fourth Proportional to 3,414.34, 4,711.27 and 1,922.22

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Solution

The fourth proportional to 3,414.34, 4,711.27 and 1,922.22 is: 2,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.34 : 4,711.27 = 1,922.22 : x
  2. Step 2: Convert to fraction form
    3,414.34/4,711.27 = 1,922.22/x
  3. Step 3: Cross multiply
    3,414.34x = 4,711.27 × 1,922.22
  4. Step 4: Simplify right side
    3,414.34x = 9,056,097.42
  5. Step 5: Solve for x
    x = 9,056,097.42/3,414.34
  6. Step 6: Final answer
    x = 2,652.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.