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Finding the Fourth Proportional to 5,433.75, 8,150.76 and 1,971

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Solution

The fourth proportional to 5,433.75, 8,150.76 and 1,971 is: 2,956.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,433.75 : 8,150.76 = 1,971 : x
  2. Step 2: Convert to fraction form
    5,433.75/8,150.76 = 1,971/x
  3. Step 3: Cross multiply
    5,433.75x = 8,150.76 × 1,971
  4. Step 4: Simplify right side
    5,433.75x = 16,065,147.96
  5. Step 5: Solve for x
    x = 16,065,147.96/5,433.75
  6. Step 6: Final answer
    x = 2,956.55

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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.