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Finding the Fourth Proportional to 5,901.51, 8,144.04 and 3,383.63

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Solution

The fourth proportional to 5,901.51, 8,144.04 and 3,383.63 is: 4,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.51 : 8,144.04 = 3,383.63 : x
  2. Step 2: Convert to fraction form
    5,901.51/8,144.04 = 3,383.63/x
  3. Step 3: Cross multiply
    5,901.51x = 8,144.04 × 3,383.63
  4. Step 4: Simplify right side
    5,901.51x = 27,556,418.07
  5. Step 5: Solve for x
    x = 27,556,418.07/5,901.51
  6. Step 6: Final answer
    x = 4,669.38

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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.