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Finding the Fourth Proportional to 4,920.86, 7,380.67 and 2,149.44

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Solution

The fourth proportional to 4,920.86, 7,380.67 and 2,149.44 is: 3,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.86 : 7,380.67 = 2,149.44 : x
  2. Step 2: Convert to fraction form
    4,920.86/7,380.67 = 2,149.44/x
  3. Step 3: Cross multiply
    4,920.86x = 7,380.67 × 2,149.44
  4. Step 4: Simplify right side
    4,920.86x = 15,864,307.32
  5. Step 5: Solve for x
    x = 15,864,307.32/4,920.86
  6. Step 6: Final answer
    x = 3,223.89

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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.