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Finding the Fourth Proportional to 4,677.96, 7,022.00 and 4,161.27

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Solution

The fourth proportional to 4,677.96, 7,022.00 and 4,161.27 is: 6,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.96 : 7,022.00 = 4,161.27 : x
  2. Step 2: Convert to fraction form
    4,677.96/7,022.00 = 4,161.27/x
  3. Step 3: Cross multiply
    4,677.96x = 7,022.00 × 4,161.27
  4. Step 4: Simplify right side
    4,677.96x = 29,220,466.87
  5. Step 5: Solve for x
    x = 29,220,466.87/4,677.96
  6. Step 6: Final answer
    x = 6,246.41

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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.