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Finding the Fourth Proportional to 4,576.26, 6,866.82 and 1,976.16

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Solution

The fourth proportional to 4,576.26, 6,866.82 and 1,976.16 is: 2,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.26 : 6,866.82 = 1,976.16 : x
  2. Step 2: Convert to fraction form
    4,576.26/6,866.82 = 1,976.16/x
  3. Step 3: Cross multiply
    4,576.26x = 6,866.82 × 1,976.16
  4. Step 4: Simplify right side
    4,576.26x = 13,569,935.01
  5. Step 5: Solve for x
    x = 13,569,935.01/4,576.26
  6. Step 6: Final answer
    x = 2,965.29

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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.