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Finding the Fourth Proportional to 4,612.48, 6,366 and 2,749.84

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Solution

The fourth proportional to 4,612.48, 6,366 and 2,749.84 is: 3,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.48 : 6,366 = 2,749.84 : x
  2. Step 2: Convert to fraction form
    4,612.48/6,366 = 2,749.84/x
  3. Step 3: Cross multiply
    4,612.48x = 6,366 × 2,749.84
  4. Step 4: Simplify right side
    4,612.48x = 17,505,481.44
  5. Step 5: Solve for x
    x = 17,505,481.44/4,612.48
  6. Step 6: Final answer
    x = 3,795.24

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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.