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Finding the Fourth Proportional to 3,605.07, 4,974.99 and 1,949.07

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Solution

The fourth proportional to 3,605.07, 4,974.99 and 1,949.07 is: 2,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.07 : 4,974.99 = 1,949.07 : x
  2. Step 2: Convert to fraction form
    3,605.07/4,974.99 = 1,949.07/x
  3. Step 3: Cross multiply
    3,605.07x = 4,974.99 × 1,949.07
  4. Step 4: Simplify right side
    3,605.07x = 9,696,603.76
  5. Step 5: Solve for x
    x = 9,696,603.76/3,605.07
  6. Step 6: Final answer
    x = 2,689.71

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1.5x scale

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.