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Finding the Fourth Proportional to 6,076.84, 8,387.12 and 3,558.80

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Solution

The fourth proportional to 6,076.84, 8,387.12 and 3,558.80 is: 4,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.84 : 8,387.12 = 3,558.80 : x
  2. Step 2: Convert to fraction form
    6,076.84/8,387.12 = 3,558.80/x
  3. Step 3: Cross multiply
    6,076.84x = 8,387.12 × 3,558.80
  4. Step 4: Simplify right side
    6,076.84x = 29,848,061.69
  5. Step 5: Solve for x
    x = 29,848,061.69/6,076.84
  6. Step 6: Final answer
    x = 4,911.78

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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.