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Finding the Fourth Proportional to 5,706.45, 8,561.16 and 1,757.61

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Solution

The fourth proportional to 5,706.45, 8,561.16 and 1,757.61 is: 2,636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.45 : 8,561.16 = 1,757.61 : x
  2. Step 2: Convert to fraction form
    5,706.45/8,561.16 = 1,757.61/x
  3. Step 3: Cross multiply
    5,706.45x = 8,561.16 × 1,757.61
  4. Step 4: Simplify right side
    5,706.45x = 15,047,180.43
  5. Step 5: Solve for x
    x = 15,047,180.43/5,706.45
  6. Step 6: Final answer
    x = 2,636.87

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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.