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Finding the Fourth Proportional to 5,789.96, 7,990.14 and 3,137.38

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Solution

The fourth proportional to 5,789.96, 7,990.14 and 3,137.38 is: 4,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.96 : 7,990.14 = 3,137.38 : x
  2. Step 2: Convert to fraction form
    5,789.96/7,990.14 = 3,137.38/x
  3. Step 3: Cross multiply
    5,789.96x = 7,990.14 × 3,137.38
  4. Step 4: Simplify right side
    5,789.96x = 25,068,097.22
  5. Step 5: Solve for x
    x = 25,068,097.22/5,789.96
  6. Step 6: Final answer
    x = 4,329.58

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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.