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Finding the Fourth Proportional to 3,985.98, 5,977.44 and 1,212

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Solution

The fourth proportional to 3,985.98, 5,977.44 and 1,212 is: 1,817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.98 : 5,977.44 = 1,212 : x
  2. Step 2: Convert to fraction form
    3,985.98/5,977.44 = 1,212/x
  3. Step 3: Cross multiply
    3,985.98x = 5,977.44 × 1,212
  4. Step 4: Simplify right side
    3,985.98x = 7,244,657.28
  5. Step 5: Solve for x
    x = 7,244,657.28/3,985.98
  6. Step 6: Final answer
    x = 1,817.53

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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.