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Finding the Fourth Proportional to 5,811.88, 8,020.34 and 3,159.36

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Solution

The fourth proportional to 5,811.88, 8,020.34 and 3,159.36 is: 4,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.88 : 8,020.34 = 3,159.36 : x
  2. Step 2: Convert to fraction form
    5,811.88/8,020.34 = 3,159.36/x
  3. Step 3: Cross multiply
    5,811.88x = 8,020.34 × 3,159.36
  4. Step 4: Simplify right side
    5,811.88x = 25,339,141.38
  5. Step 5: Solve for x
    x = 25,339,141.38/5,811.88
  6. Step 6: Final answer
    x = 4,359.89

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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.