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Finding the Fourth Proportional to 3,850.05, 5,775.08 and 928.36

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Solution

The fourth proportional to 3,850.05, 5,775.08 and 928.36 is: 1,392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.05 : 5,775.08 = 928.36 : x
  2. Step 2: Convert to fraction form
    3,850.05/5,775.08 = 928.36/x
  3. Step 3: Cross multiply
    3,850.05x = 5,775.08 × 928.36
  4. Step 4: Simplify right side
    3,850.05x = 5,361,334.19
  5. Step 5: Solve for x
    x = 5,361,334.19/3,850.05
  6. Step 6: Final answer
    x = 1,392.54

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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.