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Finding the Fourth Proportional to 3,816.44, 5,269.73 and 2,541.57

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Solution

The fourth proportional to 3,816.44, 5,269.73 and 2,541.57 is: 3,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.44 : 5,269.73 = 2,541.57 : x
  2. Step 2: Convert to fraction form
    3,816.44/5,269.73 = 2,541.57/x
  3. Step 3: Cross multiply
    3,816.44x = 5,269.73 × 2,541.57
  4. Step 4: Simplify right side
    3,816.44x = 13,393,387.68
  5. Step 5: Solve for x
    x = 13,393,387.68/3,816.44
  6. Step 6: Final answer
    x = 3,509.39

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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.