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Finding the Fourth Proportional to 3,982.84, 5,491.98 and 2,490.24

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Solution

The fourth proportional to 3,982.84, 5,491.98 and 2,490.24 is: 3,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.84 : 5,491.98 = 2,490.24 : x
  2. Step 2: Convert to fraction form
    3,982.84/5,491.98 = 2,490.24/x
  3. Step 3: Cross multiply
    3,982.84x = 5,491.98 × 2,490.24
  4. Step 4: Simplify right side
    3,982.84x = 13,676,348.28
  5. Step 5: Solve for x
    x = 13,676,348.28/3,982.84
  6. Step 6: Final answer
    x = 3,433.82

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1.5x scale

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.