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Finding the Fourth Proportional to 5,973.32, 8,961.78 and 2,413.61

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Solution

The fourth proportional to 5,973.32, 8,961.78 and 2,413.61 is: 3,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.32 : 8,961.78 = 2,413.61 : x
  2. Step 2: Convert to fraction form
    5,973.32/8,961.78 = 2,413.61/x
  3. Step 3: Cross multiply
    5,973.32x = 8,961.78 × 2,413.61
  4. Step 4: Simplify right side
    5,973.32x = 21,630,241.83
  5. Step 5: Solve for x
    x = 21,630,241.83/5,973.32
  6. Step 6: Final answer
    x = 3,621.14

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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.