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Finding the Fourth Proportional to 5,876.42, 8,109.82 and 3,223.83

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Solution

The fourth proportional to 5,876.42, 8,109.82 and 3,223.83 is: 4,449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.42 : 8,109.82 = 3,223.83 : x
  2. Step 2: Convert to fraction form
    5,876.42/8,109.82 = 3,223.83/x
  3. Step 3: Cross multiply
    5,876.42x = 8,109.82 × 3,223.83
  4. Step 4: Simplify right side
    5,876.42x = 26,144,681.01
  5. Step 5: Solve for x
    x = 26,144,681.01/5,876.42
  6. Step 6: Final answer
    x = 4,449.09

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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.