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Finding the Fourth Proportional to 3,576.92, 4,936.16 and 2,085.86

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Solution

The fourth proportional to 3,576.92, 4,936.16 and 2,085.86 is: 2,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.92 : 4,936.16 = 2,085.86 : x
  2. Step 2: Convert to fraction form
    3,576.92/4,936.16 = 2,085.86/x
  3. Step 3: Cross multiply
    3,576.92x = 4,936.16 × 2,085.86
  4. Step 4: Simplify right side
    3,576.92x = 10,296,156.25
  5. Step 5: Solve for x
    x = 10,296,156.25/3,576.92
  6. Step 6: Final answer
    x = 2,878.50

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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.