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Finding the Fourth Proportional to 5,838.54, 8,057.17 and 3,742.66

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Solution

The fourth proportional to 5,838.54, 8,057.17 and 3,742.66 is: 5,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.54 : 8,057.17 = 3,742.66 : x
  2. Step 2: Convert to fraction form
    5,838.54/8,057.17 = 3,742.66/x
  3. Step 3: Cross multiply
    5,838.54x = 8,057.17 × 3,742.66
  4. Step 4: Simplify right side
    5,838.54x = 30,155,247.87
  5. Step 5: Solve for x
    x = 30,155,247.87/5,838.54
  6. Step 6: Final answer
    x = 5,164.86

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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.