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Finding the Fourth Proportional to 3,413.31, 5,119.03 and 1,465.05

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Solution

The fourth proportional to 3,413.31, 5,119.03 and 1,465.05 is: 2,197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.31 : 5,119.03 = 1,465.05 : x
  2. Step 2: Convert to fraction form
    3,413.31/5,119.03 = 1,465.05/x
  3. Step 3: Cross multiply
    3,413.31x = 5,119.03 × 1,465.05
  4. Step 4: Simplify right side
    3,413.31x = 7,499,634.90
  5. Step 5: Solve for x
    x = 7,499,634.90/3,413.31
  6. Step 6: Final answer
    x = 2,197.17

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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.