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Finding the Fourth Proportional to 3,762.92, 5,192.74 and 2,084.30

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Solution

The fourth proportional to 3,762.92, 5,192.74 and 2,084.30 is: 2,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.92 : 5,192.74 = 2,084.30 : x
  2. Step 2: Convert to fraction form
    3,762.92/5,192.74 = 2,084.30/x
  3. Step 3: Cross multiply
    3,762.92x = 5,192.74 × 2,084.30
  4. Step 4: Simplify right side
    3,762.92x = 10,823,224.10
  5. Step 5: Solve for x
    x = 10,823,224.10/3,762.92
  6. Step 6: Final answer
    x = 2,876.28

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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.