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Finding the Fourth Proportional to 5,768.57, 7,960.64 and 3,250.69

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Solution

The fourth proportional to 5,768.57, 7,960.64 and 3,250.69 is: 4,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.57 : 7,960.64 = 3,250.69 : x
  2. Step 2: Convert to fraction form
    5,768.57/7,960.64 = 3,250.69/x
  3. Step 3: Cross multiply
    5,768.57x = 7,960.64 × 3,250.69
  4. Step 4: Simplify right side
    5,768.57x = 25,877,572.84
  5. Step 5: Solve for x
    x = 25,877,572.84/5,768.57
  6. Step 6: Final answer
    x = 4,485.96

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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.