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Finding the Fourth Proportional to 4,562.68, 6,846.66 and 1,791.24

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Solution

The fourth proportional to 4,562.68, 6,846.66 and 1,791.24 is: 2,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.68 : 6,846.66 = 1,791.24 : x
  2. Step 2: Convert to fraction form
    4,562.68/6,846.66 = 1,791.24/x
  3. Step 3: Cross multiply
    4,562.68x = 6,846.66 × 1,791.24
  4. Step 4: Simplify right side
    4,562.68x = 12,264,011.26
  5. Step 5: Solve for x
    x = 12,264,011.26/4,562.68
  6. Step 6: Final answer
    x = 2,687.90

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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.