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Finding the Fourth Proportional to 5,407.20, 8,111.16 and 1,896.78

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Solution

The fourth proportional to 5,407.20, 8,111.16 and 1,896.78 is: 2,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.20 : 8,111.16 = 1,896.78 : x
  2. Step 2: Convert to fraction form
    5,407.20/8,111.16 = 1,896.78/x
  3. Step 3: Cross multiply
    5,407.20x = 8,111.16 × 1,896.78
  4. Step 4: Simplify right side
    5,407.20x = 15,385,086.06
  5. Step 5: Solve for x
    x = 15,385,086.06/5,407.20
  6. Step 6: Final answer
    x = 2,845.30

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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.