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Finding the Fourth Proportional to 3,606.86, 5,408.22 and 1,413.02

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Solution

The fourth proportional to 3,606.86, 5,408.22 and 1,413.02 is: 2,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.86 : 5,408.22 = 1,413.02 : x
  2. Step 2: Convert to fraction form
    3,606.86/5,408.22 = 1,413.02/x
  3. Step 3: Cross multiply
    3,606.86x = 5,408.22 × 1,413.02
  4. Step 4: Simplify right side
    3,606.86x = 7,641,923.02
  5. Step 5: Solve for x
    x = 7,641,923.02/3,606.86
  6. Step 6: Final answer
    x = 2,118.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.