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Finding the Fourth Proportional to 3,674.30, 5,072.09 and 2,347.70

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Solution

The fourth proportional to 3,674.30, 5,072.09 and 2,347.70 is: 3,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.30 : 5,072.09 = 2,347.70 : x
  2. Step 2: Convert to fraction form
    3,674.30/5,072.09 = 2,347.70/x
  3. Step 3: Cross multiply
    3,674.30x = 5,072.09 × 2,347.70
  4. Step 4: Simplify right side
    3,674.30x = 11,907,708.59
  5. Step 5: Solve for x
    x = 11,907,708.59/3,674.30
  6. Step 6: Final answer
    x = 3,240.81

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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.