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Finding the Fourth Proportional to 4,614.90, 6,922.38 and 1,842.27

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Solution

The fourth proportional to 4,614.90, 6,922.38 and 1,842.27 is: 2,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.90 : 6,922.38 = 1,842.27 : x
  2. Step 2: Convert to fraction form
    4,614.90/6,922.38 = 1,842.27/x
  3. Step 3: Cross multiply
    4,614.90x = 6,922.38 × 1,842.27
  4. Step 4: Simplify right side
    4,614.90x = 12,752,893.00
  5. Step 5: Solve for x
    x = 12,752,893.00/4,614.90
  6. Step 6: Final answer
    x = 2,763.42

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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.