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Finding the Fourth Proportional to 3,358.06, 5,036.73 and 859.26

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Solution

The fourth proportional to 3,358.06, 5,036.73 and 859.26 is: 1,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.06 : 5,036.73 = 859.26 : x
  2. Step 2: Convert to fraction form
    3,358.06/5,036.73 = 859.26/x
  3. Step 3: Cross multiply
    3,358.06x = 5,036.73 × 859.26
  4. Step 4: Simplify right side
    3,358.06x = 4,327,860.62
  5. Step 5: Solve for x
    x = 4,327,860.62/3,358.06
  6. Step 6: Final answer
    x = 1,288.80

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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.