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Finding the Fourth Proportional to 3,919.64, 5,409.12 and 2,151.44

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Solution

The fourth proportional to 3,919.64, 5,409.12 and 2,151.44 is: 2,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.64 : 5,409.12 = 2,151.44 : x
  2. Step 2: Convert to fraction form
    3,919.64/5,409.12 = 2,151.44/x
  3. Step 3: Cross multiply
    3,919.64x = 5,409.12 × 2,151.44
  4. Step 4: Simplify right side
    3,919.64x = 11,637,397.13
  5. Step 5: Solve for x
    x = 11,637,397.13/3,919.64
  6. Step 6: Final answer
    x = 2,969.00

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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.