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Finding the Fourth Proportional to 3,768.36, 5,653.23 and 1,269.30

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Solution

The fourth proportional to 3,768.36, 5,653.23 and 1,269.30 is: 1,904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.36 : 5,653.23 = 1,269.30 : x
  2. Step 2: Convert to fraction form
    3,768.36/5,653.23 = 1,269.30/x
  3. Step 3: Cross multiply
    3,768.36x = 5,653.23 × 1,269.30
  4. Step 4: Simplify right side
    3,768.36x = 7,175,644.84
  5. Step 5: Solve for x
    x = 7,175,644.84/3,768.36
  6. Step 6: Final answer
    x = 1,904.18

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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.