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Finding the Fourth Proportional to 4,114.43, 5,678.06 and 2,251.43

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Solution

The fourth proportional to 4,114.43, 5,678.06 and 2,251.43 is: 3,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.43 : 5,678.06 = 2,251.43 : x
  2. Step 2: Convert to fraction form
    4,114.43/5,678.06 = 2,251.43/x
  3. Step 3: Cross multiply
    4,114.43x = 5,678.06 × 2,251.43
  4. Step 4: Simplify right side
    4,114.43x = 12,783,743.37
  5. Step 5: Solve for x
    x = 12,783,743.37/4,114.43
  6. Step 6: Final answer
    x = 3,107.05

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