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Finding the Fourth Proportional to 3,798.09, 5,244 and 2,382.39

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Solution

The fourth proportional to 3,798.09, 5,244 and 2,382.39 is: 3,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.09 : 5,244 = 2,382.39 : x
  2. Step 2: Convert to fraction form
    3,798.09/5,244 = 2,382.39/x
  3. Step 3: Cross multiply
    3,798.09x = 5,244 × 2,382.39
  4. Step 4: Simplify right side
    3,798.09x = 12,493,253.16
  5. Step 5: Solve for x
    x = 12,493,253.16/3,798.09
  6. Step 6: Final answer
    x = 3,289.35

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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.