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Finding the Fourth Proportional to 5,322.46, 7,978.29 and 2,204.68

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Solution

The fourth proportional to 5,322.46, 7,978.29 and 2,204.68 is: 3,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.46 : 7,978.29 = 2,204.68 : x
  2. Step 2: Convert to fraction form
    5,322.46/7,978.29 = 2,204.68/x
  3. Step 3: Cross multiply
    5,322.46x = 7,978.29 × 2,204.68
  4. Step 4: Simplify right side
    5,322.46x = 17,589,576.40
  5. Step 5: Solve for x
    x = 17,589,576.40/5,322.46
  6. Step 6: Final answer
    x = 3,304.78

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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.