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Finding the Fourth Proportional to 5,836.88, 8,054.89 and 3,741

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Solution

The fourth proportional to 5,836.88, 8,054.89 and 3,741 is: 5,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.88 : 8,054.89 = 3,741 : x
  2. Step 2: Convert to fraction form
    5,836.88/8,054.89 = 3,741/x
  3. Step 3: Cross multiply
    5,836.88x = 8,054.89 × 3,741
  4. Step 4: Simplify right side
    5,836.88x = 30,133,334.14
  5. Step 5: Solve for x
    x = 30,133,334.14/5,836.88
  6. Step 6: Final answer
    x = 5,162.58

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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.