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Finding the Fourth Proportional to 5,214.36, 7,822.02 and 2,094.60

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Solution

The fourth proportional to 5,214.36, 7,822.02 and 2,094.60 is: 3,142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.36 : 7,822.02 = 2,094.60 : x
  2. Step 2: Convert to fraction form
    5,214.36/7,822.02 = 2,094.60/x
  3. Step 3: Cross multiply
    5,214.36x = 7,822.02 × 2,094.60
  4. Step 4: Simplify right side
    5,214.36x = 16,384,003.09
  5. Step 5: Solve for x
    x = 16,384,003.09/5,214.36
  6. Step 6: Final answer
    x = 3,142.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.