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Finding the Fourth Proportional to 3,628.50, 5,442.81 and 1,576.50

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Solution

The fourth proportional to 3,628.50, 5,442.81 and 1,576.50 is: 2,364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.50 : 5,442.81 = 1,576.50 : x
  2. Step 2: Convert to fraction form
    3,628.50/5,442.81 = 1,576.50/x
  3. Step 3: Cross multiply
    3,628.50x = 5,442.81 × 1,576.50
  4. Step 4: Simplify right side
    3,628.50x = 8,580,589.97
  5. Step 5: Solve for x
    x = 8,580,589.97/3,628.50
  6. Step 6: Final answer
    x = 2,364.78

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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.