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Finding the Fourth Proportional to 5,717.94, 8,564.99 and 4,601.34

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Solution

The fourth proportional to 5,717.94, 8,564.99 and 4,601.34 is: 6,892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.94 : 8,564.99 = 4,601.34 : x
  2. Step 2: Convert to fraction form
    5,717.94/8,564.99 = 4,601.34/x
  3. Step 3: Cross multiply
    5,717.94x = 8,564.99 × 4,601.34
  4. Step 4: Simplify right side
    5,717.94x = 39,410,431.09
  5. Step 5: Solve for x
    x = 39,410,431.09/5,717.94
  6. Step 6: Final answer
    x = 6,892.42

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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.