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Finding the Fourth Proportional to 5,786.95, 7,986.02 and 3,134.36

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Solution

The fourth proportional to 5,786.95, 7,986.02 and 3,134.36 is: 4,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.95 : 7,986.02 = 3,134.36 : x
  2. Step 2: Convert to fraction form
    5,786.95/7,986.02 = 3,134.36/x
  3. Step 3: Cross multiply
    5,786.95x = 7,986.02 × 3,134.36
  4. Step 4: Simplify right side
    5,786.95x = 25,031,045.98
  5. Step 5: Solve for x
    x = 25,031,045.98/5,786.95
  6. Step 6: Final answer
    x = 4,325.43

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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.