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Finding the Fourth Proportional to 6,077.82, 8,387.39 and 3,283.32

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Solution

The fourth proportional to 6,077.82, 8,387.39 and 3,283.32 is: 4,530.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.82 : 8,387.39 = 3,283.32 : x
  2. Step 2: Convert to fraction form
    6,077.82/8,387.39 = 3,283.32/x
  3. Step 3: Cross multiply
    6,077.82x = 8,387.39 × 3,283.32
  4. Step 4: Simplify right side
    6,077.82x = 27,538,468.92
  5. Step 5: Solve for x
    x = 27,538,468.92/6,077.82
  6. Step 6: Final answer
    x = 4,530.98

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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.