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Finding the Fourth Proportional to 5,984.44, 8,984.78 and 4,131

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Solution

The fourth proportional to 5,984.44, 8,984.78 and 4,131 is: 6,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.44 : 8,984.78 = 4,131 : x
  2. Step 2: Convert to fraction form
    5,984.44/8,984.78 = 4,131/x
  3. Step 3: Cross multiply
    5,984.44x = 8,984.78 × 4,131
  4. Step 4: Simplify right side
    5,984.44x = 37,116,126.18
  5. Step 5: Solve for x
    x = 37,116,126.18/5,984.44
  6. Step 6: Final answer
    x = 6,202.11

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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.