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Finding the Fourth Proportional to 3,713.36, 5,124.24 and 2,034.44

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Solution

The fourth proportional to 3,713.36, 5,124.24 and 2,034.44 is: 2,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.36 : 5,124.24 = 2,034.44 : x
  2. Step 2: Convert to fraction form
    3,713.36/5,124.24 = 2,034.44/x
  3. Step 3: Cross multiply
    3,713.36x = 5,124.24 × 2,034.44
  4. Step 4: Simplify right side
    3,713.36x = 10,424,958.83
  5. Step 5: Solve for x
    x = 10,424,958.83/3,713.36
  6. Step 6: Final answer
    x = 2,807.42

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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.