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Finding the Fourth Proportional to 4,763.78, 7,149.40 and 3,119.90

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Solution

The fourth proportional to 4,763.78, 7,149.40 and 3,119.90 is: 4,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.78 : 7,149.40 = 3,119.90 : x
  2. Step 2: Convert to fraction form
    4,763.78/7,149.40 = 3,119.90/x
  3. Step 3: Cross multiply
    4,763.78x = 7,149.40 × 3,119.90
  4. Step 4: Simplify right side
    4,763.78x = 22,305,413.06
  5. Step 5: Solve for x
    x = 22,305,413.06/4,763.78
  6. Step 6: Final answer
    x = 4,682.29

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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.