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Finding the Fourth Proportional to 4,530, 6,797.84 and 1,932.96

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Solution

The fourth proportional to 4,530, 6,797.84 and 1,932.96 is: 2,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530 : 6,797.84 = 1,932.96 : x
  2. Step 2: Convert to fraction form
    4,530/6,797.84 = 1,932.96/x
  3. Step 3: Cross multiply
    4,530x = 6,797.84 × 1,932.96
  4. Step 4: Simplify right side
    4,530x = 13,139,952.81
  5. Step 5: Solve for x
    x = 13,139,952.81/4,530
  6. Step 6: Final answer
    x = 2,900.65

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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.