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Finding the Fourth Proportional to 5,561.84, 8,346.18 and 2,274.95

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Solution

The fourth proportional to 5,561.84, 8,346.18 and 2,274.95 is: 3,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.84 : 8,346.18 = 2,274.95 : x
  2. Step 2: Convert to fraction form
    5,561.84/8,346.18 = 2,274.95/x
  3. Step 3: Cross multiply
    5,561.84x = 8,346.18 × 2,274.95
  4. Step 4: Simplify right side
    5,561.84x = 18,987,142.19
  5. Step 5: Solve for x
    x = 18,987,142.19/5,561.84
  6. Step 6: Final answer
    x = 3,413.82

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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.