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Finding the Fourth Proportional to 3,840.28, 5,299.56 and 2,443

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Solution

The fourth proportional to 3,840.28, 5,299.56 and 2,443 is: 3,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.28 : 5,299.56 = 2,443 : x
  2. Step 2: Convert to fraction form
    3,840.28/5,299.56 = 2,443/x
  3. Step 3: Cross multiply
    3,840.28x = 5,299.56 × 2,443
  4. Step 4: Simplify right side
    3,840.28x = 12,946,825.08
  5. Step 5: Solve for x
    x = 12,946,825.08/3,840.28
  6. Step 6: Final answer
    x = 3,371.32

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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.