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Finding the Fourth Proportional to 3,977.39, 5,968.87 and 1,639.50

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Solution

The fourth proportional to 3,977.39, 5,968.87 and 1,639.50 is: 2,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.39 : 5,968.87 = 1,639.50 : x
  2. Step 2: Convert to fraction form
    3,977.39/5,968.87 = 1,639.50/x
  3. Step 3: Cross multiply
    3,977.39x = 5,968.87 × 1,639.50
  4. Step 4: Simplify right side
    3,977.39x = 9,785,962.37
  5. Step 5: Solve for x
    x = 9,785,962.37/3,977.39
  6. Step 6: Final answer
    x = 2,460.40

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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.