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Finding the Fourth Proportional to 3,147.42, 4,711.41 and 2,816.94

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Solution

The fourth proportional to 3,147.42, 4,711.41 and 2,816.94 is: 4,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.42 : 4,711.41 = 2,816.94 : x
  2. Step 2: Convert to fraction form
    3,147.42/4,711.41 = 2,816.94/x
  3. Step 3: Cross multiply
    3,147.42x = 4,711.41 × 2,816.94
  4. Step 4: Simplify right side
    3,147.42x = 13,271,759.29
  5. Step 5: Solve for x
    x = 13,271,759.29/3,147.42
  6. Step 6: Final answer
    x = 4,216.71

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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.