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Finding the Fourth Proportional to 3,568.38, 4,924.48 and 1,996.46

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Solution

The fourth proportional to 3,568.38, 4,924.48 and 1,996.46 is: 2,755.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.38 : 4,924.48 = 1,996.46 : x
  2. Step 2: Convert to fraction form
    3,568.38/4,924.48 = 1,996.46/x
  3. Step 3: Cross multiply
    3,568.38x = 4,924.48 × 1,996.46
  4. Step 4: Simplify right side
    3,568.38x = 9,831,527.34
  5. Step 5: Solve for x
    x = 9,831,527.34/3,568.38
  6. Step 6: Final answer
    x = 2,755.18

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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.