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Finding the Fourth Proportional to 3,974.43, 5,484.63 and 2,206.00

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Solution

The fourth proportional to 3,974.43, 5,484.63 and 2,206.00 is: 3,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.43 : 5,484.63 = 2,206.00 : x
  2. Step 2: Convert to fraction form
    3,974.43/5,484.63 = 2,206.00/x
  3. Step 3: Cross multiply
    3,974.43x = 5,484.63 × 2,206.00
  4. Step 4: Simplify right side
    3,974.43x = 12,099,066.36
  5. Step 5: Solve for x
    x = 12,099,066.36/3,974.43
  6. Step 6: Final answer
    x = 3,044.23

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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.