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Finding the Fourth Proportional to 3,094.92, 4,636.94 and 2,578.23

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Solution

The fourth proportional to 3,094.92, 4,636.94 and 2,578.23 is: 3,862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.92 : 4,636.94 = 2,578.23 : x
  2. Step 2: Convert to fraction form
    3,094.92/4,636.94 = 2,578.23/x
  3. Step 3: Cross multiply
    3,094.92x = 4,636.94 × 2,578.23
  4. Step 4: Simplify right side
    3,094.92x = 11,955,084.93
  5. Step 5: Solve for x
    x = 11,955,084.93/3,094.92
  6. Step 6: Final answer
    x = 3,862.81

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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.