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Finding the Fourth Proportional to 3,659.88, 5,051.42 and 2,333.28

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Solution

The fourth proportional to 3,659.88, 5,051.42 and 2,333.28 is: 3,220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.88 : 5,051.42 = 2,333.28 : x
  2. Step 2: Convert to fraction form
    3,659.88/5,051.42 = 2,333.28/x
  3. Step 3: Cross multiply
    3,659.88x = 5,051.42 × 2,333.28
  4. Step 4: Simplify right side
    3,659.88x = 11,786,377.26
  5. Step 5: Solve for x
    x = 11,786,377.26/3,659.88
  6. Step 6: Final answer
    x = 3,220.43

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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.