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Finding the Fourth Proportional to 4,196.87, 6,292.97 and 1,733.36

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Solution

The fourth proportional to 4,196.87, 6,292.97 and 1,733.36 is: 2,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.87 : 6,292.97 = 1,733.36 : x
  2. Step 2: Convert to fraction form
    4,196.87/6,292.97 = 1,733.36/x
  3. Step 3: Cross multiply
    4,196.87x = 6,292.97 × 1,733.36
  4. Step 4: Simplify right side
    4,196.87x = 10,907,982.48
  5. Step 5: Solve for x
    x = 10,907,982.48/4,196.87
  6. Step 6: Final answer
    x = 2,599.08

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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.