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Finding the Fourth Proportional to 4,383.96, 6,576.27 and 1,462.26

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Solution

The fourth proportional to 4,383.96, 6,576.27 and 1,462.26 is: 2,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,383.96 : 6,576.27 = 1,462.26 : x
  2. Step 2: Convert to fraction form
    4,383.96/6,576.27 = 1,462.26/x
  3. Step 3: Cross multiply
    4,383.96x = 6,576.27 × 1,462.26
  4. Step 4: Simplify right side
    4,383.96x = 9,616,198.76
  5. Step 5: Solve for x
    x = 9,616,198.76/4,383.96
  6. Step 6: Final answer
    x = 2,193.50

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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.