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Finding the Fourth Proportional to 5,230.81, 7,844.59 and 1,767.25

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Solution

The fourth proportional to 5,230.81, 7,844.59 and 1,767.25 is: 2,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.81 : 7,844.59 = 1,767.25 : x
  2. Step 2: Convert to fraction form
    5,230.81/7,844.59 = 1,767.25/x
  3. Step 3: Cross multiply
    5,230.81x = 7,844.59 × 1,767.25
  4. Step 4: Simplify right side
    5,230.81x = 13,863,351.68
  5. Step 5: Solve for x
    x = 13,863,351.68/5,230.81
  6. Step 6: Final answer
    x = 2,650.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.