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Finding the Fourth Proportional to 3,738.56, 5,607.90 and 965.25

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Solution

The fourth proportional to 3,738.56, 5,607.90 and 965.25 is: 1,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.56 : 5,607.90 = 965.25 : x
  2. Step 2: Convert to fraction form
    3,738.56/5,607.90 = 965.25/x
  3. Step 3: Cross multiply
    3,738.56x = 5,607.90 × 965.25
  4. Step 4: Simplify right side
    3,738.56x = 5,413,025.48
  5. Step 5: Solve for x
    x = 5,413,025.48/3,738.56
  6. Step 6: Final answer
    x = 1,447.89

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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.