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Finding the Fourth Proportional to 5,876.24, 8,109.40 and 3,223.83

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Solution

The fourth proportional to 5,876.24, 8,109.40 and 3,223.83 is: 4,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.24 : 8,109.40 = 3,223.83 : x
  2. Step 2: Convert to fraction form
    5,876.24/8,109.40 = 3,223.83/x
  3. Step 3: Cross multiply
    5,876.24x = 8,109.40 × 3,223.83
  4. Step 4: Simplify right side
    5,876.24x = 26,143,327.00
  5. Step 5: Solve for x
    x = 26,143,327.00/5,876.24
  6. Step 6: Final answer
    x = 4,448.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.