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Finding the Fourth Proportional to 3,791.64, 5,233.50 and 2,299.32

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Solution

The fourth proportional to 3,791.64, 5,233.50 and 2,299.32 is: 3,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.64 : 5,233.50 = 2,299.32 : x
  2. Step 2: Convert to fraction form
    3,791.64/5,233.50 = 2,299.32/x
  3. Step 3: Cross multiply
    3,791.64x = 5,233.50 × 2,299.32
  4. Step 4: Simplify right side
    3,791.64x = 12,033,491.22
  5. Step 5: Solve for x
    x = 12,033,491.22/3,791.64
  6. Step 6: Final answer
    x = 3,173.69

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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.