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Finding the Fourth Proportional to 5,510.43, 8,266.23 and 2,223

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Solution

The fourth proportional to 5,510.43, 8,266.23 and 2,223 is: 3,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.43 : 8,266.23 = 2,223 : x
  2. Step 2: Convert to fraction form
    5,510.43/8,266.23 = 2,223/x
  3. Step 3: Cross multiply
    5,510.43x = 8,266.23 × 2,223
  4. Step 4: Simplify right side
    5,510.43x = 18,375,829.29
  5. Step 5: Solve for x
    x = 18,375,829.29/5,510.43
  6. Step 6: Final answer
    x = 3,334.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.