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Finding the Fourth Proportional to 3,918.90, 5,408.14 and 2,150.67

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Solution

The fourth proportional to 3,918.90, 5,408.14 and 2,150.67 is: 2,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.90 : 5,408.14 = 2,150.67 : x
  2. Step 2: Convert to fraction form
    3,918.90/5,408.14 = 2,150.67/x
  3. Step 3: Cross multiply
    3,918.90x = 5,408.14 × 2,150.67
  4. Step 4: Simplify right side
    3,918.90x = 11,631,102.79
  5. Step 5: Solve for x
    x = 11,631,102.79/3,918.90
  6. Step 6: Final answer
    x = 2,967.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.