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Finding the Fourth Proportional to 3,982.64, 5,498.01 and 2,491.38

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Solution

The fourth proportional to 3,982.64, 5,498.01 and 2,491.38 is: 3,439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.64 : 5,498.01 = 2,491.38 : x
  2. Step 2: Convert to fraction form
    3,982.64/5,498.01 = 2,491.38/x
  3. Step 3: Cross multiply
    3,982.64x = 5,498.01 × 2,491.38
  4. Step 4: Simplify right side
    3,982.64x = 13,697,632.15
  5. Step 5: Solve for x
    x = 13,697,632.15/3,982.64
  6. Step 6: Final answer
    x = 3,439.34

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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.