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Finding the Fourth Proportional to 3,865.40, 5,797.56 and 1,268

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Solution

The fourth proportional to 3,865.40, 5,797.56 and 1,268 is: 1,901.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.40 : 5,797.56 = 1,268 : x
  2. Step 2: Convert to fraction form
    3,865.40/5,797.56 = 1,268/x
  3. Step 3: Cross multiply
    3,865.40x = 5,797.56 × 1,268
  4. Step 4: Simplify right side
    3,865.40x = 7,351,306.08
  5. Step 5: Solve for x
    x = 7,351,306.08/3,865.40
  6. Step 6: Final answer
    x = 1,901.82

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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.