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Finding the Fourth Proportional to 3,740.90, 5,163.64 and 2,413.58

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Solution

The fourth proportional to 3,740.90, 5,163.64 and 2,413.58 is: 3,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.90 : 5,163.64 = 2,413.58 : x
  2. Step 2: Convert to fraction form
    3,740.90/5,163.64 = 2,413.58/x
  3. Step 3: Cross multiply
    3,740.90x = 5,163.64 × 2,413.58
  4. Step 4: Simplify right side
    3,740.90x = 12,462,858.23
  5. Step 5: Solve for x
    x = 12,462,858.23/3,740.90
  6. Step 6: Final answer
    x = 3,331.51

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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.