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Finding the Fourth Proportional to 4,138.74, 5,709.42 and 3,842.28

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Solution

The fourth proportional to 4,138.74, 5,709.42 and 3,842.28 is: 5,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.74 : 5,709.42 = 3,842.28 : x
  2. Step 2: Convert to fraction form
    4,138.74/5,709.42 = 3,842.28/x
  3. Step 3: Cross multiply
    4,138.74x = 5,709.42 × 3,842.28
  4. Step 4: Simplify right side
    4,138.74x = 21,937,190.28
  5. Step 5: Solve for x
    x = 21,937,190.28/4,138.74
  6. Step 6: Final answer
    x = 5,300.45

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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.