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Finding the Fourth Proportional to 5,906.24, 8,151.20 and 4,411.57

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Solution

The fourth proportional to 5,906.24, 8,151.20 and 4,411.57 is: 6,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.24 : 8,151.20 = 4,411.57 : x
  2. Step 2: Convert to fraction form
    5,906.24/8,151.20 = 4,411.57/x
  3. Step 3: Cross multiply
    5,906.24x = 8,151.20 × 4,411.57
  4. Step 4: Simplify right side
    5,906.24x = 35,959,589.38
  5. Step 5: Solve for x
    x = 35,959,589.38/5,906.24
  6. Step 6: Final answer
    x = 6,088.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.