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Finding the Fourth Proportional to 3,194.21, 4,761.11 and 3,038.24

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Solution

The fourth proportional to 3,194.21, 4,761.11 and 3,038.24 is: 4,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.21 : 4,761.11 = 3,038.24 : x
  2. Step 2: Convert to fraction form
    3,194.21/4,761.11 = 3,038.24/x
  3. Step 3: Cross multiply
    3,194.21x = 4,761.11 × 3,038.24
  4. Step 4: Simplify right side
    3,194.21x = 14,465,355.85
  5. Step 5: Solve for x
    x = 14,465,355.85/3,194.21
  6. Step 6: Final answer
    x = 4,528.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.