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Finding the Fourth Proportional to 4,956.56, 7,433.42 and 1,995

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Solution

The fourth proportional to 4,956.56, 7,433.42 and 1,995 is: 2,991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.56 : 7,433.42 = 1,995 : x
  2. Step 2: Convert to fraction form
    4,956.56/7,433.42 = 1,995/x
  3. Step 3: Cross multiply
    4,956.56x = 7,433.42 × 1,995
  4. Step 4: Simplify right side
    4,956.56x = 14,829,672.90
  5. Step 5: Solve for x
    x = 14,829,672.90/4,956.56
  6. Step 6: Final answer
    x = 2,991.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.