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Finding the Fourth Proportional to 3,605.16, 4,974.66 and 2,033.64

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Solution

The fourth proportional to 3,605.16, 4,974.66 and 2,033.64 is: 2,806.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.16 : 4,974.66 = 2,033.64 : x
  2. Step 2: Convert to fraction form
    3,605.16/4,974.66 = 2,033.64/x
  3. Step 3: Cross multiply
    3,605.16x = 4,974.66 × 2,033.64
  4. Step 4: Simplify right side
    3,605.16x = 10,116,667.56
  5. Step 5: Solve for x
    x = 10,116,667.56/3,605.16
  6. Step 6: Final answer
    x = 2,806.16

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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.