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Finding the Fourth Proportional to 3,955.26, 5,932.85 and 1,616.52

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Solution

The fourth proportional to 3,955.26, 5,932.85 and 1,616.52 is: 2,424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.26 : 5,932.85 = 1,616.52 : x
  2. Step 2: Convert to fraction form
    3,955.26/5,932.85 = 1,616.52/x
  3. Step 3: Cross multiply
    3,955.26x = 5,932.85 × 1,616.52
  4. Step 4: Simplify right side
    3,955.26x = 9,590,562.60
  5. Step 5: Solve for x
    x = 9,590,562.60/3,955.26
  6. Step 6: Final answer
    x = 2,424.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.