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Finding the Fourth Proportional to 4,197.83, 6,296.22 and 1,732.33

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Solution

The fourth proportional to 4,197.83, 6,296.22 and 1,732.33 is: 2,598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.83 : 6,296.22 = 1,732.33 : x
  2. Step 2: Convert to fraction form
    4,197.83/6,296.22 = 1,732.33/x
  3. Step 3: Cross multiply
    4,197.83x = 6,296.22 × 1,732.33
  4. Step 4: Simplify right side
    4,197.83x = 10,907,099.31
  5. Step 5: Solve for x
    x = 10,907,099.31/4,197.83
  6. Step 6: Final answer
    x = 2,598.27

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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.