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Finding the Fourth Proportional to 4,972.64, 6,862.05 and 2,734.37

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Solution

The fourth proportional to 4,972.64, 6,862.05 and 2,734.37 is: 3,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.64 : 6,862.05 = 2,734.37 : x
  2. Step 2: Convert to fraction form
    4,972.64/6,862.05 = 2,734.37/x
  3. Step 3: Cross multiply
    4,972.64x = 6,862.05 × 2,734.37
  4. Step 4: Simplify right side
    4,972.64x = 18,763,413.68
  5. Step 5: Solve for x
    x = 18,763,413.68/4,972.64
  6. Step 6: Final answer
    x = 3,773.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.