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Finding the Fourth Proportional to 3,604.22, 5,407.20 and 1,413.56

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Solution

The fourth proportional to 3,604.22, 5,407.20 and 1,413.56 is: 2,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.22 : 5,407.20 = 1,413.56 : x
  2. Step 2: Convert to fraction form
    3,604.22/5,407.20 = 1,413.56/x
  3. Step 3: Cross multiply
    3,604.22x = 5,407.20 × 1,413.56
  4. Step 4: Simplify right side
    3,604.22x = 7,643,401.63
  5. Step 5: Solve for x
    x = 7,643,401.63/3,604.22
  6. Step 6: Final answer
    x = 2,120.68

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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.