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Finding the Fourth Proportional to 3,476.29, 4,796.06 and 2,413.77

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Solution

The fourth proportional to 3,476.29, 4,796.06 and 2,413.77 is: 3,330.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.29 : 4,796.06 = 2,413.77 : x
  2. Step 2: Convert to fraction form
    3,476.29/4,796.06 = 2,413.77/x
  3. Step 3: Cross multiply
    3,476.29x = 4,796.06 × 2,413.77
  4. Step 4: Simplify right side
    3,476.29x = 11,576,573.68
  5. Step 5: Solve for x
    x = 11,576,573.68/3,476.29
  6. Step 6: Final answer
    x = 3,330.15

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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.