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Finding the Fourth Proportional to 5,446.68, 8,159.46 and 2,843.34

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Solution

The fourth proportional to 5,446.68, 8,159.46 and 2,843.34 is: 4,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.68 : 8,159.46 = 2,843.34 : x
  2. Step 2: Convert to fraction form
    5,446.68/8,159.46 = 2,843.34/x
  3. Step 3: Cross multiply
    5,446.68x = 8,159.46 × 2,843.34
  4. Step 4: Simplify right side
    5,446.68x = 23,200,119.00
  5. Step 5: Solve for x
    x = 23,200,119.00/5,446.68
  6. Step 6: Final answer
    x = 4,259.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.