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Finding the Fourth Proportional to 3,984.76, 5,977.13 and 1,211.42

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Solution

The fourth proportional to 3,984.76, 5,977.13 and 1,211.42 is: 1,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.76 : 5,977.13 = 1,211.42 : x
  2. Step 2: Convert to fraction form
    3,984.76/5,977.13 = 1,211.42/x
  3. Step 3: Cross multiply
    3,984.76x = 5,977.13 × 1,211.42
  4. Step 4: Simplify right side
    3,984.76x = 7,240,814.82
  5. Step 5: Solve for x
    x = 7,240,814.82/3,984.76
  6. Step 6: Final answer
    x = 1,817.13

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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.