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Finding the Fourth Proportional to 5,563, 7,679.71 and 3,204.68

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Solution

The fourth proportional to 5,563, 7,679.71 and 3,204.68 is: 4,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563 : 7,679.71 = 3,204.68 : x
  2. Step 2: Convert to fraction form
    5,563/7,679.71 = 3,204.68/x
  3. Step 3: Cross multiply
    5,563x = 7,679.71 × 3,204.68
  4. Step 4: Simplify right side
    5,563x = 24,611,013.04
  5. Step 5: Solve for x
    x = 24,611,013.04/5,563
  6. Step 6: Final answer
    x = 4,424.05

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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.