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Finding the Fourth Proportional to 3,884.60, 5,360.81 and 2,116.20

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Solution

The fourth proportional to 3,884.60, 5,360.81 and 2,116.20 is: 2,920.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.60 : 5,360.81 = 2,116.20 : x
  2. Step 2: Convert to fraction form
    3,884.60/5,360.81 = 2,116.20/x
  3. Step 3: Cross multiply
    3,884.60x = 5,360.81 × 2,116.20
  4. Step 4: Simplify right side
    3,884.60x = 11,344,546.12
  5. Step 5: Solve for x
    x = 11,344,546.12/3,884.60
  6. Step 6: Final answer
    x = 2,920.39

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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.