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Finding the Fourth Proportional to 3,512.54, 4,847.28 and 1,919.19

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Solution

The fourth proportional to 3,512.54, 4,847.28 and 1,919.19 is: 2,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.54 : 4,847.28 = 1,919.19 : x
  2. Step 2: Convert to fraction form
    3,512.54/4,847.28 = 1,919.19/x
  3. Step 3: Cross multiply
    3,512.54x = 4,847.28 × 1,919.19
  4. Step 4: Simplify right side
    3,512.54x = 9,302,851.30
  5. Step 5: Solve for x
    x = 9,302,851.30/3,512.54
  6. Step 6: Final answer
    x = 2,648.47

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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.