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Finding the Fourth Proportional to 4,825.24, 6,652.65 and 3,828.81

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Solution

The fourth proportional to 4,825.24, 6,652.65 and 3,828.81 is: 5,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.24 : 6,652.65 = 3,828.81 : x
  2. Step 2: Convert to fraction form
    4,825.24/6,652.65 = 3,828.81/x
  3. Step 3: Cross multiply
    4,825.24x = 6,652.65 × 3,828.81
  4. Step 4: Simplify right side
    4,825.24x = 25,471,732.85
  5. Step 5: Solve for x
    x = 25,471,732.85/4,825.24
  6. Step 6: Final answer
    x = 5,278.85

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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.