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Finding the Fourth Proportional to 4,147.99, 6,221.72 and 1,683.02

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Solution

The fourth proportional to 4,147.99, 6,221.72 and 1,683.02 is: 2,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.99 : 6,221.72 = 1,683.02 : x
  2. Step 2: Convert to fraction form
    4,147.99/6,221.72 = 1,683.02/x
  3. Step 3: Cross multiply
    4,147.99x = 6,221.72 × 1,683.02
  4. Step 4: Simplify right side
    4,147.99x = 10,471,298.96
  5. Step 5: Solve for x
    x = 10,471,298.96/4,147.99
  6. Step 6: Final answer
    x = 2,524.43

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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.