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Finding the Fourth Proportional to 3,844.37, 5,765.13 and 1,211.47

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Solution

The fourth proportional to 3,844.37, 5,765.13 and 1,211.47 is: 1,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.37 : 5,765.13 = 1,211.47 : x
  2. Step 2: Convert to fraction form
    3,844.37/5,765.13 = 1,211.47/x
  3. Step 3: Cross multiply
    3,844.37x = 5,765.13 × 1,211.47
  4. Step 4: Simplify right side
    3,844.37x = 6,984,267.63
  5. Step 5: Solve for x
    x = 6,984,267.63/3,844.37
  6. Step 6: Final answer
    x = 1,816.75

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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.