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Finding the Fourth Proportional to 6,076.90, 8,385.82 and 3,424.48

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Solution

The fourth proportional to 6,076.90, 8,385.82 and 3,424.48 is: 4,725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.90 : 8,385.82 = 3,424.48 : x
  2. Step 2: Convert to fraction form
    6,076.90/8,385.82 = 3,424.48/x
  3. Step 3: Cross multiply
    6,076.90x = 8,385.82 × 3,424.48
  4. Step 4: Simplify right side
    6,076.90x = 28,717,071.91
  5. Step 5: Solve for x
    x = 28,717,071.91/6,076.90
  6. Step 6: Final answer
    x = 4,725.61

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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.