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Finding the Fourth Proportional to 5,510.75, 8,266.17 and 2,048

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Solution

The fourth proportional to 5,510.75, 8,266.17 and 2,048 is: 3,072.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.75 : 8,266.17 = 2,048 : x
  2. Step 2: Convert to fraction form
    5,510.75/8,266.17 = 2,048/x
  3. Step 3: Cross multiply
    5,510.75x = 8,266.17 × 2,048
  4. Step 4: Simplify right side
    5,510.75x = 16,929,116.16
  5. Step 5: Solve for x
    x = 16,929,116.16/5,510.75
  6. Step 6: Final answer
    x = 3,072.02

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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.