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Finding the Fourth Proportional to 3,576.48, 4,936.02 and 2,084.86

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Solution

The fourth proportional to 3,576.48, 4,936.02 and 2,084.86 is: 2,877.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.48 : 4,936.02 = 2,084.86 : x
  2. Step 2: Convert to fraction form
    3,576.48/4,936.02 = 2,084.86/x
  3. Step 3: Cross multiply
    3,576.48x = 4,936.02 × 2,084.86
  4. Step 4: Simplify right side
    3,576.48x = 10,290,910.66
  5. Step 5: Solve for x
    x = 10,290,910.66/3,576.48
  6. Step 6: Final answer
    x = 2,877.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.