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Finding the Fourth Proportional to 3,396.37, 5,094.83 and 1,448.59

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Solution

The fourth proportional to 3,396.37, 5,094.83 and 1,448.59 is: 2,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.37 : 5,094.83 = 1,448.59 : x
  2. Step 2: Convert to fraction form
    3,396.37/5,094.83 = 1,448.59/x
  3. Step 3: Cross multiply
    3,396.37x = 5,094.83 × 1,448.59
  4. Step 4: Simplify right side
    3,396.37x = 7,380,319.79
  5. Step 5: Solve for x
    x = 7,380,319.79/3,396.37
  6. Step 6: Final answer
    x = 2,173.00

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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.