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Finding the Fourth Proportional to 3,975.90, 5,956.50 and 1,999.24

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Solution

The fourth proportional to 3,975.90, 5,956.50 and 1,999.24 is: 2,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.90 : 5,956.50 = 1,999.24 : x
  2. Step 2: Convert to fraction form
    3,975.90/5,956.50 = 1,999.24/x
  3. Step 3: Cross multiply
    3,975.90x = 5,956.50 × 1,999.24
  4. Step 4: Simplify right side
    3,975.90x = 11,908,473.06
  5. Step 5: Solve for x
    x = 11,908,473.06/3,975.90
  6. Step 6: Final answer
    x = 2,995.16

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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.