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Finding the Fourth Proportional to 5,786.38, 7,985.20 and 3,133.80

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Solution

The fourth proportional to 5,786.38, 7,985.20 and 3,133.80 is: 4,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.38 : 7,985.20 = 3,133.80 : x
  2. Step 2: Convert to fraction form
    5,786.38/7,985.20 = 3,133.80/x
  3. Step 3: Cross multiply
    5,786.38x = 7,985.20 × 3,133.80
  4. Step 4: Simplify right side
    5,786.38x = 25,024,019.76
  5. Step 5: Solve for x
    x = 25,024,019.76/5,786.38
  6. Step 6: Final answer
    x = 4,324.64

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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.