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Finding the Fourth Proportional to 3,884.34, 5,825.16 and 1,286.58

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Solution

The fourth proportional to 3,884.34, 5,825.16 and 1,286.58 is: 1,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.34 : 5,825.16 = 1,286.58 : x
  2. Step 2: Convert to fraction form
    3,884.34/5,825.16 = 1,286.58/x
  3. Step 3: Cross multiply
    3,884.34x = 5,825.16 × 1,286.58
  4. Step 4: Simplify right side
    3,884.34x = 7,494,534.35
  5. Step 5: Solve for x
    x = 7,494,534.35/3,884.34
  6. Step 6: Final answer
    x = 1,929.42

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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.