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Finding the Fourth Proportional to 4,645.98, 6,413.94 and 3,581.42

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Solution

The fourth proportional to 4,645.98, 6,413.94 and 3,581.42 is: 4,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.98 : 6,413.94 = 3,581.42 : x
  2. Step 2: Convert to fraction form
    4,645.98/6,413.94 = 3,581.42/x
  3. Step 3: Cross multiply
    4,645.98x = 6,413.94 × 3,581.42
  4. Step 4: Simplify right side
    4,645.98x = 22,970,980.93
  5. Step 5: Solve for x
    x = 22,970,980.93/4,645.98
  6. Step 6: Final answer
    x = 4,944.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.