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Finding the Fourth Proportional to 5,666.80, 8,493.02 and 3,203

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Solution

The fourth proportional to 5,666.80, 8,493.02 and 3,203 is: 4,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.80 : 8,493.02 = 3,203 : x
  2. Step 2: Convert to fraction form
    5,666.80/8,493.02 = 3,203/x
  3. Step 3: Cross multiply
    5,666.80x = 8,493.02 × 3,203
  4. Step 4: Simplify right side
    5,666.80x = 27,203,143.06
  5. Step 5: Solve for x
    x = 27,203,143.06/5,666.80
  6. Step 6: Final answer
    x = 4,800.44

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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.