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Finding the Fourth Proportional to 5,495.22, 8,237.88 and 1,984.41

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Solution

The fourth proportional to 5,495.22, 8,237.88 and 1,984.41 is: 2,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.22 : 8,237.88 = 1,984.41 : x
  2. Step 2: Convert to fraction form
    5,495.22/8,237.88 = 1,984.41/x
  3. Step 3: Cross multiply
    5,495.22x = 8,237.88 × 1,984.41
  4. Step 4: Simplify right side
    5,495.22x = 16,347,331.45
  5. Step 5: Solve for x
    x = 16,347,331.45/5,495.22
  6. Step 6: Final answer
    x = 2,974.83

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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.