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Finding the Fourth Proportional to 3,286.41, 4,534.07 and 2,026.89

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Solution

The fourth proportional to 3,286.41, 4,534.07 and 2,026.89 is: 2,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.41 : 4,534.07 = 2,026.89 : x
  2. Step 2: Convert to fraction form
    3,286.41/4,534.07 = 2,026.89/x
  3. Step 3: Cross multiply
    3,286.41x = 4,534.07 × 2,026.89
  4. Step 4: Simplify right side
    3,286.41x = 9,190,051.01
  5. Step 5: Solve for x
    x = 9,190,051.01/3,286.41
  6. Step 6: Final answer
    x = 2,796.38

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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.