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Finding the Fourth Proportional to 3,514.71, 4,850.51 and 1,942.95

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Solution

The fourth proportional to 3,514.71, 4,850.51 and 1,942.95 is: 2,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.71 : 4,850.51 = 1,942.95 : x
  2. Step 2: Convert to fraction form
    3,514.71/4,850.51 = 1,942.95/x
  3. Step 3: Cross multiply
    3,514.71x = 4,850.51 × 1,942.95
  4. Step 4: Simplify right side
    3,514.71x = 9,424,288.69
  5. Step 5: Solve for x
    x = 9,424,288.69/3,514.71
  6. Step 6: Final answer
    x = 2,681.38

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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.