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Finding the Fourth Proportional to 4,199.09, 5,794.76 and 2,336.09

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Solution

The fourth proportional to 4,199.09, 5,794.76 and 2,336.09 is: 3,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.09 : 5,794.76 = 2,336.09 : x
  2. Step 2: Convert to fraction form
    4,199.09/5,794.76 = 2,336.09/x
  3. Step 3: Cross multiply
    4,199.09x = 5,794.76 × 2,336.09
  4. Step 4: Simplify right side
    4,199.09x = 13,537,080.89
  5. Step 5: Solve for x
    x = 13,537,080.89/4,199.09
  6. Step 6: Final answer
    x = 3,223.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.