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Finding the Fourth Proportional to 3,883.04, 5,824.38 and 1,286

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Solution

The fourth proportional to 3,883.04, 5,824.38 and 1,286 is: 1,928.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.04 : 5,824.38 = 1,286 : x
  2. Step 2: Convert to fraction form
    3,883.04/5,824.38 = 1,286/x
  3. Step 3: Cross multiply
    3,883.04x = 5,824.38 × 1,286
  4. Step 4: Simplify right side
    3,883.04x = 7,490,152.68
  5. Step 5: Solve for x
    x = 7,490,152.68/3,883.04
  6. Step 6: Final answer
    x = 1,928.94

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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.