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Finding the Fourth Proportional to 4,196.90, 6,300.81 and 3,223.68

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Solution

The fourth proportional to 4,196.90, 6,300.81 and 3,223.68 is: 4,839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.90 : 6,300.81 = 3,223.68 : x
  2. Step 2: Convert to fraction form
    4,196.90/6,300.81 = 3,223.68/x
  3. Step 3: Cross multiply
    4,196.90x = 6,300.81 × 3,223.68
  4. Step 4: Simplify right side
    4,196.90x = 20,311,795.18
  5. Step 5: Solve for x
    x = 20,311,795.18/4,196.90
  6. Step 6: Final answer
    x = 4,839.72

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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.