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Finding the Fourth Proportional to 5,828, 8,739.94 and 1,879.10

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Solution

The fourth proportional to 5,828, 8,739.94 and 1,879.10 is: 2,817.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828 : 8,739.94 = 1,879.10 : x
  2. Step 2: Convert to fraction form
    5,828/8,739.94 = 1,879.10/x
  3. Step 3: Cross multiply
    5,828x = 8,739.94 × 1,879.10
  4. Step 4: Simplify right side
    5,828x = 16,423,221.25
  5. Step 5: Solve for x
    x = 16,423,221.25/5,828
  6. Step 6: Final answer
    x = 2,817.99

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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.