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Finding the Fourth Proportional to 4,296.69, 6,443.96 and 1,698.21

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Solution

The fourth proportional to 4,296.69, 6,443.96 and 1,698.21 is: 2,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.69 : 6,443.96 = 1,698.21 : x
  2. Step 2: Convert to fraction form
    4,296.69/6,443.96 = 1,698.21/x
  3. Step 3: Cross multiply
    4,296.69x = 6,443.96 × 1,698.21
  4. Step 4: Simplify right side
    4,296.69x = 10,943,188.82
  5. Step 5: Solve for x
    x = 10,943,188.82/4,296.69
  6. Step 6: Final answer
    x = 2,546.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.