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Finding the Fourth Proportional to 5,768.72, 7,958.76 and 3,283.28

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Solution

The fourth proportional to 5,768.72, 7,958.76 and 3,283.28 is: 4,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.72 : 7,958.76 = 3,283.28 : x
  2. Step 2: Convert to fraction form
    5,768.72/7,958.76 = 3,283.28/x
  3. Step 3: Cross multiply
    5,768.72x = 7,958.76 × 3,283.28
  4. Step 4: Simplify right side
    5,768.72x = 26,130,837.53
  5. Step 5: Solve for x
    x = 26,130,837.53/5,768.72
  6. Step 6: Final answer
    x = 4,529.75

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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.