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Finding the Fourth Proportional to 4,765.69, 6,576.65 and 2,669.81

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Solution

The fourth proportional to 4,765.69, 6,576.65 and 2,669.81 is: 3,684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.69 : 6,576.65 = 2,669.81 : x
  2. Step 2: Convert to fraction form
    4,765.69/6,576.65 = 2,669.81/x
  3. Step 3: Cross multiply
    4,765.69x = 6,576.65 × 2,669.81
  4. Step 4: Simplify right side
    4,765.69x = 17,558,429.05
  5. Step 5: Solve for x
    x = 17,558,429.05/4,765.69
  6. Step 6: Final answer
    x = 3,684.34

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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.