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Finding the Fourth Proportional to 5,129.70, 7,698.26 and 2,208.84

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Solution

The fourth proportional to 5,129.70, 7,698.26 and 2,208.84 is: 3,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.70 : 7,698.26 = 2,208.84 : x
  2. Step 2: Convert to fraction form
    5,129.70/7,698.26 = 2,208.84/x
  3. Step 3: Cross multiply
    5,129.70x = 7,698.26 × 2,208.84
  4. Step 4: Simplify right side
    5,129.70x = 17,004,224.62
  5. Step 5: Solve for x
    x = 17,004,224.62/5,129.70
  6. Step 6: Final answer
    x = 3,314.86

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