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Finding the Fourth Proportional to 3,792.66, 5,234.03 and 2,091.24

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Solution

The fourth proportional to 3,792.66, 5,234.03 and 2,091.24 is: 2,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.66 : 5,234.03 = 2,091.24 : x
  2. Step 2: Convert to fraction form
    3,792.66/5,234.03 = 2,091.24/x
  3. Step 3: Cross multiply
    3,792.66x = 5,234.03 × 2,091.24
  4. Step 4: Simplify right side
    3,792.66x = 10,945,612.90
  5. Step 5: Solve for x
    x = 10,945,612.90/3,792.66
  6. Step 6: Final answer
    x = 2,886.00

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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.