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Finding the Fourth Proportional to 4,844.27, 7,265.52 and 1,286.41

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Solution

The fourth proportional to 4,844.27, 7,265.52 and 1,286.41 is: 1,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.27 : 7,265.52 = 1,286.41 : x
  2. Step 2: Convert to fraction form
    4,844.27/7,265.52 = 1,286.41/x
  3. Step 3: Cross multiply
    4,844.27x = 7,265.52 × 1,286.41
  4. Step 4: Simplify right side
    4,844.27x = 9,346,437.58
  5. Step 5: Solve for x
    x = 9,346,437.58/4,844.27
  6. Step 6: Final answer
    x = 1,929.38

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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.