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Finding the Fourth Proportional to 3,956.99, 5,938.72 and 2,009.75

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Solution

The fourth proportional to 3,956.99, 5,938.72 and 2,009.75 is: 3,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.99 : 5,938.72 = 2,009.75 : x
  2. Step 2: Convert to fraction form
    3,956.99/5,938.72 = 2,009.75/x
  3. Step 3: Cross multiply
    3,956.99x = 5,938.72 × 2,009.75
  4. Step 4: Simplify right side
    3,956.99x = 11,935,307.80
  5. Step 5: Solve for x
    x = 11,935,307.80/3,956.99
  6. Step 6: Final answer
    x = 3,016.26

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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.