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Finding the Fourth Proportional to 3,612.22, 5,413.65 and 1,419.10

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Solution

The fourth proportional to 3,612.22, 5,413.65 and 1,419.10 is: 2,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.22 : 5,413.65 = 1,419.10 : x
  2. Step 2: Convert to fraction form
    3,612.22/5,413.65 = 1,419.10/x
  3. Step 3: Cross multiply
    3,612.22x = 5,413.65 × 1,419.10
  4. Step 4: Simplify right side
    3,612.22x = 7,682,510.72
  5. Step 5: Solve for x
    x = 7,682,510.72/3,612.22
  6. Step 6: Final answer
    x = 2,126.81

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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.