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Finding the Fourth Proportional to 6,488.69, 8,954.46 and 3,694.37

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Solution

The fourth proportional to 6,488.69, 8,954.46 and 3,694.37 is: 5,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.69 : 8,954.46 = 3,694.37 : x
  2. Step 2: Convert to fraction form
    6,488.69/8,954.46 = 3,694.37/x
  3. Step 3: Cross multiply
    6,488.69x = 8,954.46 × 3,694.37
  4. Step 4: Simplify right side
    6,488.69x = 33,081,088.39
  5. Step 5: Solve for x
    x = 33,081,088.39/6,488.69
  6. Step 6: Final answer
    x = 5,098.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.