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Finding the Fourth Proportional to 5,722.53, 8,531.67 and 5,578.49

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Solution

The fourth proportional to 5,722.53, 8,531.67 and 5,578.49 is: 8,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.53 : 8,531.67 = 5,578.49 : x
  2. Step 2: Convert to fraction form
    5,722.53/8,531.67 = 5,578.49/x
  3. Step 3: Cross multiply
    5,722.53x = 8,531.67 × 5,578.49
  4. Step 4: Simplify right side
    5,722.53x = 47,593,793.12
  5. Step 5: Solve for x
    x = 47,593,793.12/5,722.53
  6. Step 6: Final answer
    x = 8,316.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.