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Finding the Fourth Proportional to 3,333.68, 4,602.42 and 2,964.59

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Solution

The fourth proportional to 3,333.68, 4,602.42 and 2,964.59 is: 4,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.68 : 4,602.42 = 2,964.59 : x
  2. Step 2: Convert to fraction form
    3,333.68/4,602.42 = 2,964.59/x
  3. Step 3: Cross multiply
    3,333.68x = 4,602.42 × 2,964.59
  4. Step 4: Simplify right side
    3,333.68x = 13,644,265.30
  5. Step 5: Solve for x
    x = 13,644,265.30/3,333.68
  6. Step 6: Final answer
    x = 4,092.86

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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.