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Finding the Fourth Proportional to 3,000.19, 4,474.04 and 2,836.42

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Solution

The fourth proportional to 3,000.19, 4,474.04 and 2,836.42 is: 4,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.19 : 4,474.04 = 2,836.42 : x
  2. Step 2: Convert to fraction form
    3,000.19/4,474.04 = 2,836.42/x
  3. Step 3: Cross multiply
    3,000.19x = 4,474.04 × 2,836.42
  4. Step 4: Simplify right side
    3,000.19x = 12,690,256.54
  5. Step 5: Solve for x
    x = 12,690,256.54/3,000.19
  6. Step 6: Final answer
    x = 4,229.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.