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Finding the Fourth Proportional to 3,887.76, 5,834.05 and 3,092.41

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Solution

The fourth proportional to 3,887.76, 5,834.05 and 3,092.41 is: 4,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.76 : 5,834.05 = 3,092.41 : x
  2. Step 2: Convert to fraction form
    3,887.76/5,834.05 = 3,092.41/x
  3. Step 3: Cross multiply
    3,887.76x = 5,834.05 × 3,092.41
  4. Step 4: Simplify right side
    3,887.76x = 18,041,274.12
  5. Step 5: Solve for x
    x = 18,041,274.12/3,887.76
  6. Step 6: Final answer
    x = 4,640.53

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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.