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Finding the Fourth Proportional to 3,211.40, 4,812.60 and 2,554.40

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Solution

The fourth proportional to 3,211.40, 4,812.60 and 2,554.40 is: 3,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.40 : 4,812.60 = 2,554.40 : x
  2. Step 2: Convert to fraction form
    3,211.40/4,812.60 = 2,554.40/x
  3. Step 3: Cross multiply
    3,211.40x = 4,812.60 × 2,554.40
  4. Step 4: Simplify right side
    3,211.40x = 12,293,305.44
  5. Step 5: Solve for x
    x = 12,293,305.44/3,211.40
  6. Step 6: Final answer
    x = 3,828.02

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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.