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Finding the Fourth Proportional to 3,919.63, 5,409.07 and 2,151.20

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Solution

The fourth proportional to 3,919.63, 5,409.07 and 2,151.20 is: 2,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.63 : 5,409.07 = 2,151.20 : x
  2. Step 2: Convert to fraction form
    3,919.63/5,409.07 = 2,151.20/x
  3. Step 3: Cross multiply
    3,919.63x = 5,409.07 × 2,151.20
  4. Step 4: Simplify right side
    3,919.63x = 11,635,991.35
  5. Step 5: Solve for x
    x = 11,635,991.35/3,919.63
  6. Step 6: Final answer
    x = 2,968.64

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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.