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Finding the Fourth Proportional to 4,001.30, 5,998.97 and 1,919.32

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Solution

The fourth proportional to 4,001.30, 5,998.97 and 1,919.32 is: 2,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.30 : 5,998.97 = 1,919.32 : x
  2. Step 2: Convert to fraction form
    4,001.30/5,998.97 = 1,919.32/x
  3. Step 3: Cross multiply
    4,001.30x = 5,998.97 × 1,919.32
  4. Step 4: Simplify right side
    4,001.30x = 11,513,944.04
  5. Step 5: Solve for x
    x = 11,513,944.04/4,001.30
  6. Step 6: Final answer
    x = 2,877.55

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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.