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Finding the Fourth Proportional to 5,563.64, 8,342.22 and 2,099

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Solution

The fourth proportional to 5,563.64, 8,342.22 and 2,099 is: 3,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.64 : 8,342.22 = 2,099 : x
  2. Step 2: Convert to fraction form
    5,563.64/8,342.22 = 2,099/x
  3. Step 3: Cross multiply
    5,563.64x = 8,342.22 × 2,099
  4. Step 4: Simplify right side
    5,563.64x = 17,510,319.78
  5. Step 5: Solve for x
    x = 17,510,319.78/5,563.64
  6. Step 6: Final answer
    x = 3,147.28

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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.