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Finding the Fourth Proportional to 4,911.85, 7,367.70 and 1,791.83

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Solution

The fourth proportional to 4,911.85, 7,367.70 and 1,791.83 is: 2,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.85 : 7,367.70 = 1,791.83 : x
  2. Step 2: Convert to fraction form
    4,911.85/7,367.70 = 1,791.83/x
  3. Step 3: Cross multiply
    4,911.85x = 7,367.70 × 1,791.83
  4. Step 4: Simplify right side
    4,911.85x = 13,201,684.31
  5. Step 5: Solve for x
    x = 13,201,684.31/4,911.85
  6. Step 6: Final answer
    x = 2,687.72

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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.