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Finding the Fourth Proportional to 3,867.37, 5,801.17 and 945.67

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Solution

The fourth proportional to 3,867.37, 5,801.17 and 945.67 is: 1,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.37 : 5,801.17 = 945.67 : x
  2. Step 2: Convert to fraction form
    3,867.37/5,801.17 = 945.67/x
  3. Step 3: Cross multiply
    3,867.37x = 5,801.17 × 945.67
  4. Step 4: Simplify right side
    3,867.37x = 5,486,002.21
  5. Step 5: Solve for x
    x = 5,486,002.21/3,867.37
  6. Step 6: Final answer
    x = 1,418.54

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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.