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Finding the Fourth Proportional to 4,576.91, 6,865.49 and 3,588.80

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Solution

The fourth proportional to 4,576.91, 6,865.49 and 3,588.80 is: 5,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.91 : 6,865.49 = 3,588.80 : x
  2. Step 2: Convert to fraction form
    4,576.91/6,865.49 = 3,588.80/x
  3. Step 3: Cross multiply
    4,576.91x = 6,865.49 × 3,588.80
  4. Step 4: Simplify right side
    4,576.91x = 24,638,845.16
  5. Step 5: Solve for x
    x = 24,638,845.16/4,576.91
  6. Step 6: Final answer
    x = 5,383.30

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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.