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Finding the Fourth Proportional to 3,622.38, 4,998.94 and 1,966.38

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Solution

The fourth proportional to 3,622.38, 4,998.94 and 1,966.38 is: 2,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.38 : 4,998.94 = 1,966.38 : x
  2. Step 2: Convert to fraction form
    3,622.38/4,998.94 = 1,966.38/x
  3. Step 3: Cross multiply
    3,622.38x = 4,998.94 × 1,966.38
  4. Step 4: Simplify right side
    3,622.38x = 9,829,790.64
  5. Step 5: Solve for x
    x = 9,829,790.64/3,622.38
  6. Step 6: Final answer
    x = 2,713.63

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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.