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Finding the Fourth Proportional to 4,346.28, 5,996.29 and 2,855

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Solution

The fourth proportional to 4,346.28, 5,996.29 and 2,855 is: 3,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.28 : 5,996.29 = 2,855 : x
  2. Step 2: Convert to fraction form
    4,346.28/5,996.29 = 2,855/x
  3. Step 3: Cross multiply
    4,346.28x = 5,996.29 × 2,855
  4. Step 4: Simplify right side
    4,346.28x = 17,119,407.95
  5. Step 5: Solve for x
    x = 17,119,407.95/4,346.28
  6. Step 6: Final answer
    x = 3,938.86

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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.