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Finding the Fourth Proportional to 3,474.44, 5,205.52 and 2,886.00

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Solution

The fourth proportional to 3,474.44, 5,205.52 and 2,886.00 is: 4,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.44 : 5,205.52 = 2,886.00 : x
  2. Step 2: Convert to fraction form
    3,474.44/5,205.52 = 2,886.00/x
  3. Step 3: Cross multiply
    3,474.44x = 5,205.52 × 2,886.00
  4. Step 4: Simplify right side
    3,474.44x = 15,023,142.49
  5. Step 5: Solve for x
    x = 15,023,142.49/3,474.44
  6. Step 6: Final answer
    x = 4,323.90

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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.