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Finding the Fourth Proportional to 5,721.50, 8,578.94 and 1,771.70

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Solution

The fourth proportional to 5,721.50, 8,578.94 and 1,771.70 is: 2,656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.50 : 8,578.94 = 1,771.70 : x
  2. Step 2: Convert to fraction form
    5,721.50/8,578.94 = 1,771.70/x
  3. Step 3: Cross multiply
    5,721.50x = 8,578.94 × 1,771.70
  4. Step 4: Simplify right side
    5,721.50x = 15,199,256.24
  5. Step 5: Solve for x
    x = 15,199,256.24/5,721.50
  6. Step 6: Final answer
    x = 2,656.51

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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.