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Finding the Fourth Proportional to 5,632.96, 7,769.46 and 4,304.37

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Solution

The fourth proportional to 5,632.96, 7,769.46 and 4,304.37 is: 5,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.96 : 7,769.46 = 4,304.37 : x
  2. Step 2: Convert to fraction form
    5,632.96/7,769.46 = 4,304.37/x
  3. Step 3: Cross multiply
    5,632.96x = 7,769.46 × 4,304.37
  4. Step 4: Simplify right side
    5,632.96x = 33,442,630.54
  5. Step 5: Solve for x
    x = 33,442,630.54/5,632.96
  6. Step 6: Final answer
    x = 5,936.96

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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.