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Finding the Fourth Proportional to 6,078.44, 8,388.25 and 3,283.94

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Solution

The fourth proportional to 6,078.44, 8,388.25 and 3,283.94 is: 4,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.44 : 8,388.25 = 3,283.94 : x
  2. Step 2: Convert to fraction form
    6,078.44/8,388.25 = 3,283.94/x
  3. Step 3: Cross multiply
    6,078.44x = 8,388.25 × 3,283.94
  4. Step 4: Simplify right side
    6,078.44x = 27,546,509.71
  5. Step 5: Solve for x
    x = 27,546,509.71/6,078.44
  6. Step 6: Final answer
    x = 4,531.84

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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.