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Finding the Fourth Proportional to 5,578, 7,698 and 3,094

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Solution

The fourth proportional to 5,578, 7,698 and 3,094 is: 4,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578 : 7,698 = 3,094 : x
  2. Step 2: Convert to fraction form
    5,578/7,698 = 3,094/x
  3. Step 3: Cross multiply
    5,578x = 7,698 × 3,094
  4. Step 4: Simplify right side
    5,578x = 23,817,612
  5. Step 5: Solve for x
    x = 23,817,612/5,578
  6. Step 6: Final answer
    x = 4,269.92

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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.