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Finding the Fourth Proportional to 5,896.60, 8,835.99 and 3,945.31

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Solution

The fourth proportional to 5,896.60, 8,835.99 and 3,945.31 is: 5,912.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.60 : 8,835.99 = 3,945.31 : x
  2. Step 2: Convert to fraction form
    5,896.60/8,835.99 = 3,945.31/x
  3. Step 3: Cross multiply
    5,896.60x = 8,835.99 × 3,945.31
  4. Step 4: Simplify right side
    5,896.60x = 34,860,719.71
  5. Step 5: Solve for x
    x = 34,860,719.71/5,896.60
  6. Step 6: Final answer
    x = 5,912.00

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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.