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Finding the Fourth Proportional to 5,971.54, 8,956.50 and 1,754.68

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Solution

The fourth proportional to 5,971.54, 8,956.50 and 1,754.68 is: 2,631.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.54 : 8,956.50 = 1,754.68 : x
  2. Step 2: Convert to fraction form
    5,971.54/8,956.50 = 1,754.68/x
  3. Step 3: Cross multiply
    5,971.54x = 8,956.50 × 1,754.68
  4. Step 4: Simplify right side
    5,971.54x = 15,715,791.42
  5. Step 5: Solve for x
    x = 15,715,791.42/5,971.54
  6. Step 6: Final answer
    x = 2,631.78

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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.