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Finding the Fourth Proportional to 3,842.39, 5,302.89 and 2,351.30

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Solution

The fourth proportional to 3,842.39, 5,302.89 and 2,351.30 is: 3,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.39 : 5,302.89 = 2,351.30 : x
  2. Step 2: Convert to fraction form
    3,842.39/5,302.89 = 2,351.30/x
  3. Step 3: Cross multiply
    3,842.39x = 5,302.89 × 2,351.30
  4. Step 4: Simplify right side
    3,842.39x = 12,468,658.74
  5. Step 5: Solve for x
    x = 12,468,658.74/3,842.39
  6. Step 6: Final answer
    x = 3,245.03

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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.