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Finding the Fourth Proportional to 3,094.94, 4,636.99 and 2,578.25

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Solution

The fourth proportional to 3,094.94, 4,636.99 and 2,578.25 is: 3,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.94 : 4,636.99 = 2,578.25 : x
  2. Step 2: Convert to fraction form
    3,094.94/4,636.99 = 2,578.25/x
  3. Step 3: Cross multiply
    3,094.94x = 4,636.99 × 2,578.25
  4. Step 4: Simplify right side
    3,094.94x = 11,955,319.47
  5. Step 5: Solve for x
    x = 11,955,319.47/3,094.94
  6. Step 6: Final answer
    x = 3,862.86

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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.