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Finding the Fourth Proportional to 3,846.55, 5,769.82 and 924.85

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Solution

The fourth proportional to 3,846.55, 5,769.82 and 924.85 is: 1,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.55 : 5,769.82 = 924.85 : x
  2. Step 2: Convert to fraction form
    3,846.55/5,769.82 = 924.85/x
  3. Step 3: Cross multiply
    3,846.55x = 5,769.82 × 924.85
  4. Step 4: Simplify right side
    3,846.55x = 5,336,213.40
  5. Step 5: Solve for x
    x = 5,336,213.40/3,846.55
  6. Step 6: Final answer
    x = 1,387.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.