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Finding the Fourth Proportional to 4,765.74, 6,576.51 and 2,669.85

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Solution

The fourth proportional to 4,765.74, 6,576.51 and 2,669.85 is: 3,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.74 : 6,576.51 = 2,669.85 : x
  2. Step 2: Convert to fraction form
    4,765.74/6,576.51 = 2,669.85/x
  3. Step 3: Cross multiply
    4,765.74x = 6,576.51 × 2,669.85
  4. Step 4: Simplify right side
    4,765.74x = 17,558,295.22
  5. Step 5: Solve for x
    x = 17,558,295.22/4,765.74
  6. Step 6: Final answer
    x = 3,684.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.