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Finding the Fourth Proportional to 3,982.77, 5,496.53 and 2,214.41

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Solution

The fourth proportional to 3,982.77, 5,496.53 and 2,214.41 is: 3,056.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.77 : 5,496.53 = 2,214.41 : x
  2. Step 2: Convert to fraction form
    3,982.77/5,496.53 = 2,214.41/x
  3. Step 3: Cross multiply
    3,982.77x = 5,496.53 × 2,214.41
  4. Step 4: Simplify right side
    3,982.77x = 12,171,532.44
  5. Step 5: Solve for x
    x = 12,171,532.44/3,982.77
  6. Step 6: Final answer
    x = 3,056.05

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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.