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Finding the Fourth Proportional to 5,578.26, 7,698.21 and 3,094.74

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Solution

The fourth proportional to 5,578.26, 7,698.21 and 3,094.74 is: 4,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.26 : 7,698.21 = 3,094.74 : x
  2. Step 2: Convert to fraction form
    5,578.26/7,698.21 = 3,094.74/x
  3. Step 3: Cross multiply
    5,578.26x = 7,698.21 × 3,094.74
  4. Step 4: Simplify right side
    5,578.26x = 23,823,958.42
  5. Step 5: Solve for x
    x = 23,823,958.42/5,578.26
  6. Step 6: Final answer
    x = 4,270.86

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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.