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Finding the Fourth Proportional to 5,833, 8,049.54 and 3,738.34

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Solution

The fourth proportional to 5,833, 8,049.54 and 3,738.34 is: 5,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833 : 8,049.54 = 3,738.34 : x
  2. Step 2: Convert to fraction form
    5,833/8,049.54 = 3,738.34/x
  3. Step 3: Cross multiply
    5,833x = 8,049.54 × 3,738.34
  4. Step 4: Simplify right side
    5,833x = 30,091,917.36
  5. Step 5: Solve for x
    x = 30,091,917.36/5,833
  6. Step 6: Final answer
    x = 5,158.91

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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.