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Finding the Fourth Proportional to 3,974.92, 5,484.90 and 2,206.28

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Solution

The fourth proportional to 3,974.92, 5,484.90 and 2,206.28 is: 3,044.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.92 : 5,484.90 = 2,206.28 : x
  2. Step 2: Convert to fraction form
    3,974.92/5,484.90 = 2,206.28/x
  3. Step 3: Cross multiply
    3,974.92x = 5,484.90 × 2,206.28
  4. Step 4: Simplify right side
    3,974.92x = 12,101,225.17
  5. Step 5: Solve for x
    x = 12,101,225.17/3,974.92
  6. Step 6: Final answer
    x = 3,044.39

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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.