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Finding the Fourth Proportional to 5,562, 8,344.67 and 3,221.46

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Solution

The fourth proportional to 5,562, 8,344.67 and 3,221.46 is: 4,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562 : 8,344.67 = 3,221.46 : x
  2. Step 2: Convert to fraction form
    5,562/8,344.67 = 3,221.46/x
  3. Step 3: Cross multiply
    5,562x = 8,344.67 × 3,221.46
  4. Step 4: Simplify right side
    5,562x = 26,882,004.51
  5. Step 5: Solve for x
    x = 26,882,004.51/5,562
  6. Step 6: Final answer
    x = 4,833.15

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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.