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Finding the Fourth Proportional to 3,478.07, 4,799.82 and 1,906.18

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Solution

The fourth proportional to 3,478.07, 4,799.82 and 1,906.18 is: 2,630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.07 : 4,799.82 = 1,906.18 : x
  2. Step 2: Convert to fraction form
    3,478.07/4,799.82 = 1,906.18/x
  3. Step 3: Cross multiply
    3,478.07x = 4,799.82 × 1,906.18
  4. Step 4: Simplify right side
    3,478.07x = 9,149,316.04
  5. Step 5: Solve for x
    x = 9,149,316.04/3,478.07
  6. Step 6: Final answer
    x = 2,630.57

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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.