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Finding the Fourth Proportional to 3,762.41, 5,192.32 and 2,084

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Solution

The fourth proportional to 3,762.41, 5,192.32 and 2,084 is: 2,876.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.41 : 5,192.32 = 2,084 : x
  2. Step 2: Convert to fraction form
    3,762.41/5,192.32 = 2,084/x
  3. Step 3: Cross multiply
    3,762.41x = 5,192.32 × 2,084
  4. Step 4: Simplify right side
    3,762.41x = 10,820,794.88
  5. Step 5: Solve for x
    x = 10,820,794.88/3,762.41
  6. Step 6: Final answer
    x = 2,876.03

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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.