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Finding the Fourth Proportional to 4,867.38, 7,286.40 and 4,211.28

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Solution

The fourth proportional to 4,867.38, 7,286.40 and 4,211.28 is: 6,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.38 : 7,286.40 = 4,211.28 : x
  2. Step 2: Convert to fraction form
    4,867.38/7,286.40 = 4,211.28/x
  3. Step 3: Cross multiply
    4,867.38x = 7,286.40 × 4,211.28
  4. Step 4: Simplify right side
    4,867.38x = 30,685,070.59
  5. Step 5: Solve for x
    x = 30,685,070.59/4,867.38
  6. Step 6: Final answer
    x = 6,304.23

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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.