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Finding the Fourth Proportional to 3,142.45, 4,716.11 and 1,195.21

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Solution

The fourth proportional to 3,142.45, 4,716.11 and 1,195.21 is: 1,793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.45 : 4,716.11 = 1,195.21 : x
  2. Step 2: Convert to fraction form
    3,142.45/4,716.11 = 1,195.21/x
  3. Step 3: Cross multiply
    3,142.45x = 4,716.11 × 1,195.21
  4. Step 4: Simplify right side
    3,142.45x = 5,636,741.83
  5. Step 5: Solve for x
    x = 5,636,741.83/3,142.45
  6. Step 6: Final answer
    x = 1,793.74

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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.