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Finding the Fourth Proportional to 4,906.48, 7,361.54 and 2,275.24

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Solution

The fourth proportional to 4,906.48, 7,361.54 and 2,275.24 is: 3,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.48 : 7,361.54 = 2,275.24 : x
  2. Step 2: Convert to fraction form
    4,906.48/7,361.54 = 2,275.24/x
  3. Step 3: Cross multiply
    4,906.48x = 7,361.54 × 2,275.24
  4. Step 4: Simplify right side
    4,906.48x = 16,749,270.27
  5. Step 5: Solve for x
    x = 16,749,270.27/4,906.48
  6. Step 6: Final answer
    x = 3,413.70

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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.