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Finding the Fourth Proportional to 3,977.40, 5,968.13 and 1,639.20

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Solution

The fourth proportional to 3,977.40, 5,968.13 and 1,639.20 is: 2,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.40 : 5,968.13 = 1,639.20 : x
  2. Step 2: Convert to fraction form
    3,977.40/5,968.13 = 1,639.20/x
  3. Step 3: Cross multiply
    3,977.40x = 5,968.13 × 1,639.20
  4. Step 4: Simplify right side
    3,977.40x = 9,782,950.50
  5. Step 5: Solve for x
    x = 9,782,950.50/3,977.40
  6. Step 6: Final answer
    x = 2,459.63

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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.