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Finding the Fourth Proportional to 5,221.64, 7,199.20 and 3,807.38

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Solution

The fourth proportional to 5,221.64, 7,199.20 and 3,807.38 is: 5,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.64 : 7,199.20 = 3,807.38 : x
  2. Step 2: Convert to fraction form
    5,221.64/7,199.20 = 3,807.38/x
  3. Step 3: Cross multiply
    5,221.64x = 7,199.20 × 3,807.38
  4. Step 4: Simplify right side
    5,221.64x = 27,410,090.10
  5. Step 5: Solve for x
    x = 27,410,090.10/5,221.64
  6. Step 6: Final answer
    x = 5,249.33

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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.