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Finding the Fourth Proportional to 6,182.84, 8,532.42 and 3,388.34

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Solution

The fourth proportional to 6,182.84, 8,532.42 and 3,388.34 is: 4,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.84 : 8,532.42 = 3,388.34 : x
  2. Step 2: Convert to fraction form
    6,182.84/8,532.42 = 3,388.34/x
  3. Step 3: Cross multiply
    6,182.84x = 8,532.42 × 3,388.34
  4. Step 4: Simplify right side
    6,182.84x = 28,910,739.98
  5. Step 5: Solve for x
    x = 28,910,739.98/6,182.84
  6. Step 6: Final answer
    x = 4,675.96

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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.