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Finding the Fourth Proportional to 3,094.81, 4,636.81 and 2,578.13

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Solution

The fourth proportional to 3,094.81, 4,636.81 and 2,578.13 is: 3,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.81 : 4,636.81 = 2,578.13 : x
  2. Step 2: Convert to fraction form
    3,094.81/4,636.81 = 2,578.13/x
  3. Step 3: Cross multiply
    3,094.81x = 4,636.81 × 2,578.13
  4. Step 4: Simplify right side
    3,094.81x = 11,954,298.97
  5. Step 5: Solve for x
    x = 11,954,298.97/3,094.81
  6. Step 6: Final answer
    x = 3,862.69

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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.