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Finding the Fourth Proportional to 3,747.36, 5,620.32 and 1,438.56

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Solution

The fourth proportional to 3,747.36, 5,620.32 and 1,438.56 is: 2,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.36 : 5,620.32 = 1,438.56 : x
  2. Step 2: Convert to fraction form
    3,747.36/5,620.32 = 1,438.56/x
  3. Step 3: Cross multiply
    3,747.36x = 5,620.32 × 1,438.56
  4. Step 4: Simplify right side
    3,747.36x = 8,085,167.54
  5. Step 5: Solve for x
    x = 8,085,167.54/3,747.36
  6. Step 6: Final answer
    x = 2,157.56

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