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Finding the Fourth Proportional to 4,138.44, 5,709.10 and 2,369.04

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Solution

The fourth proportional to 4,138.44, 5,709.10 and 2,369.04 is: 3,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.44 : 5,709.10 = 2,369.04 : x
  2. Step 2: Convert to fraction form
    4,138.44/5,709.10 = 2,369.04/x
  3. Step 3: Cross multiply
    4,138.44x = 5,709.10 × 2,369.04
  4. Step 4: Simplify right side
    4,138.44x = 13,525,086.26
  5. Step 5: Solve for x
    x = 13,525,086.26/4,138.44
  6. Step 6: Final answer
    x = 3,268.16

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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.