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Finding the Fourth Proportional to 5,561.46, 8,343 and 1,862.87

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Solution

The fourth proportional to 5,561.46, 8,343 and 1,862.87 is: 2,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.46 : 8,343 = 1,862.87 : x
  2. Step 2: Convert to fraction form
    5,561.46/8,343 = 1,862.87/x
  3. Step 3: Cross multiply
    5,561.46x = 8,343 × 1,862.87
  4. Step 4: Simplify right side
    5,561.46x = 15,541,882.70
  5. Step 5: Solve for x
    x = 15,541,882.70/5,561.46
  6. Step 6: Final answer
    x = 2,794.57

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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.