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Finding the Fourth Proportional to 5,974.64, 8,244.64 and 3,321.96

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Solution

The fourth proportional to 5,974.64, 8,244.64 and 3,321.96 is: 4,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.64 : 8,244.64 = 3,321.96 : x
  2. Step 2: Convert to fraction form
    5,974.64/8,244.64 = 3,321.96/x
  3. Step 3: Cross multiply
    5,974.64x = 8,244.64 × 3,321.96
  4. Step 4: Simplify right side
    5,974.64x = 27,388,364.29
  5. Step 5: Solve for x
    x = 27,388,364.29/5,974.64
  6. Step 6: Final answer
    x = 4,584.10

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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.