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Finding the Fourth Proportional to 3,985,605.80, 5,978,408.70 and 1,964,234.60

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Solution

The fourth proportional to 3,985,605.80, 5,978,408.70 and 1,964,234.60 is: 2,946,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985,605.80 : 5,978,408.70 = 1,964,234.60 : x
  2. Step 2: Convert to fraction form
    3,985,605.80/5,978,408.70 = 1,964,234.60/x
  3. Step 3: Cross multiply
    3,985,605.80x = 5,978,408.70 × 1,964,234.60
  4. Step 4: Simplify right side
    3,985,605.80x = 11,742,997,221,481.02
  5. Step 5: Solve for x
    x = 11,742,997,221,481.02/3,985,605.80
  6. Step 6: Final answer
    x = 2,946,351.90

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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.