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Finding the Fourth Proportional to 5,837, 8,052.28 and 3,949.24

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Solution

The fourth proportional to 5,837, 8,052.28 and 3,949.24 is: 5,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837 : 8,052.28 = 3,949.24 : x
  2. Step 2: Convert to fraction form
    5,837/8,052.28 = 3,949.24/x
  3. Step 3: Cross multiply
    5,837x = 8,052.28 × 3,949.24
  4. Step 4: Simplify right side
    5,837x = 31,800,386.27
  5. Step 5: Solve for x
    x = 31,800,386.27/5,837
  6. Step 6: Final answer
    x = 5,448.07

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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.