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Finding the Fourth Proportional to 3,211.54, 4,817.28 and 2,566.38

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Solution

The fourth proportional to 3,211.54, 4,817.28 and 2,566.38 is: 3,849.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.54 : 4,817.28 = 2,566.38 : x
  2. Step 2: Convert to fraction form
    3,211.54/4,817.28 = 2,566.38/x
  3. Step 3: Cross multiply
    3,211.54x = 4,817.28 × 2,566.38
  4. Step 4: Simplify right side
    3,211.54x = 12,362,971.05
  5. Step 5: Solve for x
    x = 12,362,971.05/3,211.54
  6. Step 6: Final answer
    x = 3,849.55

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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.