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Finding the Fourth Proportional to 3,884.52, 5,825.81 and 1,111.21

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Solution

The fourth proportional to 3,884.52, 5,825.81 and 1,111.21 is: 1,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.52 : 5,825.81 = 1,111.21 : x
  2. Step 2: Convert to fraction form
    3,884.52/5,825.81 = 1,111.21/x
  3. Step 3: Cross multiply
    3,884.52x = 5,825.81 × 1,111.21
  4. Step 4: Simplify right side
    3,884.52x = 6,473,713.06
  5. Step 5: Solve for x
    x = 6,473,713.06/3,884.52
  6. Step 6: Final answer
    x = 1,666.54

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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.