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Finding the Fourth Proportional to 4,770.69, 6,576.64 and 3,350.05

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Solution

The fourth proportional to 4,770.69, 6,576.64 and 3,350.05 is: 4,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.69 : 6,576.64 = 3,350.05 : x
  2. Step 2: Convert to fraction form
    4,770.69/6,576.64 = 3,350.05/x
  3. Step 3: Cross multiply
    4,770.69x = 6,576.64 × 3,350.05
  4. Step 4: Simplify right side
    4,770.69x = 22,032,072.83
  5. Step 5: Solve for x
    x = 22,032,072.83/4,770.69
  6. Step 6: Final answer
    x = 4,618.22

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