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Finding the Fourth Proportional to 5,182.07, 7,773.03 and 1,286.44

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Solution

The fourth proportional to 5,182.07, 7,773.03 and 1,286.44 is: 1,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.07 : 7,773.03 = 1,286.44 : x
  2. Step 2: Convert to fraction form
    5,182.07/7,773.03 = 1,286.44/x
  3. Step 3: Cross multiply
    5,182.07x = 7,773.03 × 1,286.44
  4. Step 4: Simplify right side
    5,182.07x = 9,999,517.28
  5. Step 5: Solve for x
    x = 9,999,517.28/5,182.07
  6. Step 6: Final answer
    x = 1,929.64

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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.