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Finding the Fourth Proportional to 5,546.84, 8,317.82 and 2,949.16

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Solution

The fourth proportional to 5,546.84, 8,317.82 and 2,949.16 is: 4,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.84 : 8,317.82 = 2,949.16 : x
  2. Step 2: Convert to fraction form
    5,546.84/8,317.82 = 2,949.16/x
  3. Step 3: Cross multiply
    5,546.84x = 8,317.82 × 2,949.16
  4. Step 4: Simplify right side
    5,546.84x = 24,530,582.03
  5. Step 5: Solve for x
    x = 24,530,582.03/5,546.84
  6. Step 6: Final answer
    x = 4,422.44

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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.