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Finding the Fourth Proportional to 5,769.14, 7,962.46 and 4,524.98

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Solution

The fourth proportional to 5,769.14, 7,962.46 and 4,524.98 is: 6,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.14 : 7,962.46 = 4,524.98 : x
  2. Step 2: Convert to fraction form
    5,769.14/7,962.46 = 4,524.98/x
  3. Step 3: Cross multiply
    5,769.14x = 7,962.46 × 4,524.98
  4. Step 4: Simplify right side
    5,769.14x = 36,029,972.25
  5. Step 5: Solve for x
    x = 36,029,972.25/5,769.14
  6. Step 6: Final answer
    x = 6,245.29

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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.