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Finding the Fourth Proportional to 4,411.28, 6,611.88 and 1,811

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Solution

The fourth proportional to 4,411.28, 6,611.88 and 1,811 is: 2,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411.28 : 6,611.88 = 1,811 : x
  2. Step 2: Convert to fraction form
    4,411.28/6,611.88 = 1,811/x
  3. Step 3: Cross multiply
    4,411.28x = 6,611.88 × 1,811
  4. Step 4: Simplify right side
    4,411.28x = 11,974,114.68
  5. Step 5: Solve for x
    x = 11,974,114.68/4,411.28
  6. Step 6: Final answer
    x = 2,714.43

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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.