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Finding the Fourth Proportional to 5,881.82, 8,114.02 and 4,285.99

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Solution

The fourth proportional to 5,881.82, 8,114.02 and 4,285.99 is: 5,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.82 : 8,114.02 = 4,285.99 : x
  2. Step 2: Convert to fraction form
    5,881.82/8,114.02 = 4,285.99/x
  3. Step 3: Cross multiply
    5,881.82x = 8,114.02 × 4,285.99
  4. Step 4: Simplify right side
    5,881.82x = 34,776,608.58
  5. Step 5: Solve for x
    x = 34,776,608.58/5,881.82
  6. Step 6: Final answer
    x = 5,912.56

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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.