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Finding the Fourth Proportional to 3,850.68, 5,775.96 and 928.96

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Solution

The fourth proportional to 3,850.68, 5,775.96 and 928.96 is: 1,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.68 : 5,775.96 = 928.96 : x
  2. Step 2: Convert to fraction form
    3,850.68/5,775.96 = 928.96/x
  3. Step 3: Cross multiply
    3,850.68x = 5,775.96 × 928.96
  4. Step 4: Simplify right side
    3,850.68x = 5,365,606.92
  5. Step 5: Solve for x
    x = 5,365,606.92/3,850.68
  6. Step 6: Final answer
    x = 1,393.42

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Why These Related Problems?

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