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Finding the Fourth Proportional to 3,803.23, 5,704.88 and 1,338.07

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Solution

The fourth proportional to 3,803.23, 5,704.88 and 1,338.07 is: 2,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.23 : 5,704.88 = 1,338.07 : x
  2. Step 2: Convert to fraction form
    3,803.23/5,704.88 = 1,338.07/x
  3. Step 3: Cross multiply
    3,803.23x = 5,704.88 × 1,338.07
  4. Step 4: Simplify right side
    3,803.23x = 7,633,507.83
  5. Step 5: Solve for x
    x = 7,633,507.83/3,803.23
  6. Step 6: Final answer
    x = 2,007.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.