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Finding the Fourth Proportional to 3,842.37, 5,302.67 and 2,270.43

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Solution

The fourth proportional to 3,842.37, 5,302.67 and 2,270.43 is: 3,133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.37 : 5,302.67 = 2,270.43 : x
  2. Step 2: Convert to fraction form
    3,842.37/5,302.67 = 2,270.43/x
  3. Step 3: Cross multiply
    3,842.37x = 5,302.67 × 2,270.43
  4. Step 4: Simplify right side
    3,842.37x = 12,039,329.70
  5. Step 5: Solve for x
    x = 12,039,329.70/3,842.37
  6. Step 6: Final answer
    x = 3,133.31

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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.