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Finding the Fourth Proportional to 3,842.34, 5,302.60 and 2,270.44

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Solution

The fourth proportional to 3,842.34, 5,302.60 and 2,270.44 is: 3,133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.34 : 5,302.60 = 2,270.44 : x
  2. Step 2: Convert to fraction form
    3,842.34/5,302.60 = 2,270.44/x
  3. Step 3: Cross multiply
    3,842.34x = 5,302.60 × 2,270.44
  4. Step 4: Simplify right side
    3,842.34x = 12,039,235.14
  5. Step 5: Solve for x
    x = 12,039,235.14/3,842.34
  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.