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Finding the Fourth Proportional to 3,578.44, 4,938.07 and 1,985.15

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Solution

The fourth proportional to 3,578.44, 4,938.07 and 1,985.15 is: 2,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.44 : 4,938.07 = 1,985.15 : x
  2. Step 2: Convert to fraction form
    3,578.44/4,938.07 = 1,985.15/x
  3. Step 3: Cross multiply
    3,578.44x = 4,938.07 × 1,985.15
  4. Step 4: Simplify right side
    3,578.44x = 9,802,789.27
  5. Step 5: Solve for x
    x = 9,802,789.27/3,578.44
  6. Step 6: Final answer
    x = 2,739.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.