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Finding the Fourth Proportional to 3,796.99, 5,242.28 and 2,382.62

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Solution

The fourth proportional to 3,796.99, 5,242.28 and 2,382.62 is: 3,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.99 : 5,242.28 = 2,382.62 : x
  2. Step 2: Convert to fraction form
    3,796.99/5,242.28 = 2,382.62/x
  3. Step 3: Cross multiply
    3,796.99x = 5,242.28 × 2,382.62
  4. Step 4: Simplify right side
    3,796.99x = 12,490,323.05
  5. Step 5: Solve for x
    x = 12,490,323.05/3,796.99
  6. Step 6: Final answer
    x = 3,289.54

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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.