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Finding the Fourth Proportional to 5,194.47, 7,794.45 and 2,274.84

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Solution

The fourth proportional to 5,194.47, 7,794.45 and 2,274.84 is: 3,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.47 : 7,794.45 = 2,274.84 : x
  2. Step 2: Convert to fraction form
    5,194.47/7,794.45 = 2,274.84/x
  3. Step 3: Cross multiply
    5,194.47x = 7,794.45 × 2,274.84
  4. Step 4: Simplify right side
    5,194.47x = 17,731,126.64
  5. Step 5: Solve for x
    x = 17,731,126.64/5,194.47
  6. Step 6: Final answer
    x = 3,413.46

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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.