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Finding the Fourth Proportional to 3,804.69, 5,708.13 and 2,246.12

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Solution

The fourth proportional to 3,804.69, 5,708.13 and 2,246.12 is: 3,369.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.69 : 5,708.13 = 2,246.12 : x
  2. Step 2: Convert to fraction form
    3,804.69/5,708.13 = 2,246.12/x
  3. Step 3: Cross multiply
    3,804.69x = 5,708.13 × 2,246.12
  4. Step 4: Simplify right side
    3,804.69x = 12,821,144.96
  5. Step 5: Solve for x
    x = 12,821,144.96/3,804.69
  6. Step 6: Final answer
    x = 3,369.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.