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Finding the Fourth Proportional to 3,576.78, 4,936.11 and 2,084.46

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Solution

The fourth proportional to 3,576.78, 4,936.11 and 2,084.46 is: 2,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.78 : 4,936.11 = 2,084.46 : x
  2. Step 2: Convert to fraction form
    3,576.78/4,936.11 = 2,084.46/x
  3. Step 3: Cross multiply
    3,576.78x = 4,936.11 × 2,084.46
  4. Step 4: Simplify right side
    3,576.78x = 10,289,123.85
  5. Step 5: Solve for x
    x = 10,289,123.85/3,576.78
  6. Step 6: Final answer
    x = 2,876.64

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1.5x scale

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.