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Finding the Fourth Proportional to 3,884.84, 5,827.26 and 1,288.52

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Solution

The fourth proportional to 3,884.84, 5,827.26 and 1,288.52 is: 1,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.84 : 5,827.26 = 1,288.52 : x
  2. Step 2: Convert to fraction form
    3,884.84/5,827.26 = 1,288.52/x
  3. Step 3: Cross multiply
    3,884.84x = 5,827.26 × 1,288.52
  4. Step 4: Simplify right side
    3,884.84x = 7,508,541.06
  5. Step 5: Solve for x
    x = 7,508,541.06/3,884.84
  6. Step 6: Final answer
    x = 1,932.78

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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.