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Finding the Fourth Proportional to 4,951.20, 6,835.16 and 3,829.60

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Solution

The fourth proportional to 4,951.20, 6,835.16 and 3,829.60 is: 5,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.20 : 6,835.16 = 3,829.60 : x
  2. Step 2: Convert to fraction form
    4,951.20/6,835.16 = 3,829.60/x
  3. Step 3: Cross multiply
    4,951.20x = 6,835.16 × 3,829.60
  4. Step 4: Simplify right side
    4,951.20x = 26,175,928.74
  5. Step 5: Solve for x
    x = 26,175,928.74/4,951.20
  6. Step 6: Final answer
    x = 5,286.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.