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Finding the Fourth Proportional to 3,842.44, 5,300.56 and 2,425.62

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Solution

The fourth proportional to 3,842.44, 5,300.56 and 2,425.62 is: 3,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.44 : 5,300.56 = 2,425.62 : x
  2. Step 2: Convert to fraction form
    3,842.44/5,300.56 = 2,425.62/x
  3. Step 3: Cross multiply
    3,842.44x = 5,300.56 × 2,425.62
  4. Step 4: Simplify right side
    3,842.44x = 12,857,105.72
  5. Step 5: Solve for x
    x = 12,857,105.72/3,842.44
  6. Step 6: Final answer
    x = 3,346.08

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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.