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Finding the Fourth Proportional to 3,919, 5,407.72 and 2,150.14

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Solution

The fourth proportional to 3,919, 5,407.72 and 2,150.14 is: 2,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919 : 5,407.72 = 2,150.14 : x
  2. Step 2: Convert to fraction form
    3,919/5,407.72 = 2,150.14/x
  3. Step 3: Cross multiply
    3,919x = 5,407.72 × 2,150.14
  4. Step 4: Simplify right side
    3,919x = 11,627,355.08
  5. Step 5: Solve for x
    x = 11,627,355.08/3,919
  6. Step 6: Final answer
    x = 2,966.92

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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.