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Finding the Fourth Proportional to 5,786.53, 7,985.37 and 3,133.91

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Solution

The fourth proportional to 5,786.53, 7,985.37 and 3,133.91 is: 4,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.53 : 7,985.37 = 3,133.91 : x
  2. Step 2: Convert to fraction form
    5,786.53/7,985.37 = 3,133.91/x
  3. Step 3: Cross multiply
    5,786.53x = 7,985.37 × 3,133.91
  4. Step 4: Simplify right side
    5,786.53x = 25,025,430.90
  5. Step 5: Solve for x
    x = 25,025,430.90/5,786.53
  6. Step 6: Final answer
    x = 4,324.78

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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.