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Finding the Fourth Proportional to 5,497, 8,244.54 and 2,033.32

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Solution

The fourth proportional to 5,497, 8,244.54 and 2,033.32 is: 3,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497 : 8,244.54 = 2,033.32 : x
  2. Step 2: Convert to fraction form
    5,497/8,244.54 = 2,033.32/x
  3. Step 3: Cross multiply
    5,497x = 8,244.54 × 2,033.32
  4. Step 4: Simplify right side
    5,497x = 16,763,788.07
  5. Step 5: Solve for x
    x = 16,763,788.07/5,497
  6. Step 6: Final answer
    x = 3,049.62

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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.