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Finding the Fourth Proportional to 3,494.58, 5,243.97 and 1,304.85

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Solution

The fourth proportional to 3,494.58, 5,243.97 and 1,304.85 is: 1,958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.58 : 5,243.97 = 1,304.85 : x
  2. Step 2: Convert to fraction form
    3,494.58/5,243.97 = 1,304.85/x
  3. Step 3: Cross multiply
    3,494.58x = 5,243.97 × 1,304.85
  4. Step 4: Simplify right side
    3,494.58x = 6,842,590.99
  5. Step 5: Solve for x
    x = 6,842,590.99/3,494.58
  6. Step 6: Final answer
    x = 1,958.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.