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Finding the Fourth Proportional to 5,232.43, 7,848.61 and 3,286

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Solution

The fourth proportional to 5,232.43, 7,848.61 and 3,286 is: 4,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.43 : 7,848.61 = 3,286 : x
  2. Step 2: Convert to fraction form
    5,232.43/7,848.61 = 3,286/x
  3. Step 3: Cross multiply
    5,232.43x = 7,848.61 × 3,286
  4. Step 4: Simplify right side
    5,232.43x = 25,790,532.46
  5. Step 5: Solve for x
    x = 25,790,532.46/5,232.43
  6. Step 6: Final answer
    x = 4,928.98

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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.