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Finding the Fourth Proportional to 3,605.25, 4,975.25 and 1,949.25

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Solution

The fourth proportional to 3,605.25, 4,975.25 and 1,949.25 is: 2,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.25 : 4,975.25 = 1,949.25 : x
  2. Step 2: Convert to fraction form
    3,605.25/4,975.25 = 1,949.25/x
  3. Step 3: Cross multiply
    3,605.25x = 4,975.25 × 1,949.25
  4. Step 4: Simplify right side
    3,605.25x = 9,698,006.06
  5. Step 5: Solve for x
    x = 9,698,006.06/3,605.25
  6. Step 6: Final answer
    x = 2,689.97

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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.