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Finding the Fourth Proportional to 3,333.69, 4,602.42 and 2,964.60

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Solution

The fourth proportional to 3,333.69, 4,602.42 and 2,964.60 is: 4,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.69 : 4,602.42 = 2,964.60 : x
  2. Step 2: Convert to fraction form
    3,333.69/4,602.42 = 2,964.60/x
  3. Step 3: Cross multiply
    3,333.69x = 4,602.42 × 2,964.60
  4. Step 4: Simplify right side
    3,333.69x = 13,644,334.33
  5. Step 5: Solve for x
    x = 13,644,334.33/3,333.69
  6. Step 6: Final answer
    x = 4,092.86

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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.