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Finding the Fourth Proportional to 4,745.09, 7,114.88 and 2,276.54

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Solution

The fourth proportional to 4,745.09, 7,114.88 and 2,276.54 is: 3,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.09 : 7,114.88 = 2,276.54 : x
  2. Step 2: Convert to fraction form
    4,745.09/7,114.88 = 2,276.54/x
  3. Step 3: Cross multiply
    4,745.09x = 7,114.88 × 2,276.54
  4. Step 4: Simplify right side
    4,745.09x = 16,197,261.96
  5. Step 5: Solve for x
    x = 16,197,261.96/4,745.09
  6. Step 6: Final answer
    x = 3,413.48

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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.