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Finding the Fourth Proportional to 4,027, 5,557.28 and 2,349.57

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Solution

The fourth proportional to 4,027, 5,557.28 and 2,349.57 is: 3,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027 : 5,557.28 = 2,349.57 : x
  2. Step 2: Convert to fraction form
    4,027/5,557.28 = 2,349.57/x
  3. Step 3: Cross multiply
    4,027x = 5,557.28 × 2,349.57
  4. Step 4: Simplify right side
    4,027x = 13,057,218.37
  5. Step 5: Solve for x
    x = 13,057,218.37/4,027
  6. Step 6: Final answer
    x = 3,242.42

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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.