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Finding the Fourth Proportional to 5,768.84, 7,960.92 and 3,412.28

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Solution

The fourth proportional to 5,768.84, 7,960.92 and 3,412.28 is: 4,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.84 : 7,960.92 = 3,412.28 : x
  2. Step 2: Convert to fraction form
    5,768.84/7,960.92 = 3,412.28/x
  3. Step 3: Cross multiply
    5,768.84x = 7,960.92 × 3,412.28
  4. Step 4: Simplify right side
    5,768.84x = 27,164,888.10
  5. Step 5: Solve for x
    x = 27,164,888.10/5,768.84
  6. Step 6: Final answer
    x = 4,708.90

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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.