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Finding the Fourth Proportional to 4,198.33, 6,296.95 and 1,424.89

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Solution

The fourth proportional to 4,198.33, 6,296.95 and 1,424.89 is: 2,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.33 : 6,296.95 = 1,424.89 : x
  2. Step 2: Convert to fraction form
    4,198.33/6,296.95 = 1,424.89/x
  3. Step 3: Cross multiply
    4,198.33x = 6,296.95 × 1,424.89
  4. Step 4: Simplify right side
    4,198.33x = 8,972,461.09
  5. Step 5: Solve for x
    x = 8,972,461.09/4,198.33
  6. Step 6: Final answer
    x = 2,137.15

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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.