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Finding the Fourth Proportional to 3,604.88, 5,408.14 and 1,413.42

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Solution

The fourth proportional to 3,604.88, 5,408.14 and 1,413.42 is: 2,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.88 : 5,408.14 = 1,413.42 : x
  2. Step 2: Convert to fraction form
    3,604.88/5,408.14 = 1,413.42/x
  3. Step 3: Cross multiply
    3,604.88x = 5,408.14 × 1,413.42
  4. Step 4: Simplify right side
    3,604.88x = 7,643,973.24
  5. Step 5: Solve for x
    x = 7,643,973.24/3,604.88
  6. Step 6: Final answer
    x = 2,120.45

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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.