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Finding the Fourth Proportional to 3,407.33, 4,697.77 and 2,286.49

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Solution

The fourth proportional to 3,407.33, 4,697.77 and 2,286.49 is: 3,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.33 : 4,697.77 = 2,286.49 : x
  2. Step 2: Convert to fraction form
    3,407.33/4,697.77 = 2,286.49/x
  3. Step 3: Cross multiply
    3,407.33x = 4,697.77 × 2,286.49
  4. Step 4: Simplify right side
    3,407.33x = 10,741,369.21
  5. Step 5: Solve for x
    x = 10,741,369.21/3,407.33
  6. Step 6: Final answer
    x = 3,152.43

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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.