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Finding the Fourth Proportional to 3,849.44, 5,348.06 and 3,803.36

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Solution

The fourth proportional to 3,849.44, 5,348.06 and 3,803.36 is: 5,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.44 : 5,348.06 = 3,803.36 : x
  2. Step 2: Convert to fraction form
    3,849.44/5,348.06 = 3,803.36/x
  3. Step 3: Cross multiply
    3,849.44x = 5,348.06 × 3,803.36
  4. Step 4: Simplify right side
    3,849.44x = 20,340,597.48
  5. Step 5: Solve for x
    x = 20,340,597.48/3,849.44
  6. Step 6: Final answer
    x = 5,284.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.