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Finding the Fourth Proportional to 3,977.14, 5,965.56 and 1,636.50

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Solution

The fourth proportional to 3,977.14, 5,965.56 and 1,636.50 is: 2,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.14 : 5,965.56 = 1,636.50 : x
  2. Step 2: Convert to fraction form
    3,977.14/5,965.56 = 1,636.50/x
  3. Step 3: Cross multiply
    3,977.14x = 5,965.56 × 1,636.50
  4. Step 4: Simplify right side
    3,977.14x = 9,762,638.94
  5. Step 5: Solve for x
    x = 9,762,638.94/3,977.14
  6. Step 6: Final answer
    x = 2,454.69

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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.