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Finding the Fourth Proportional to 3,977.64, 5,964.60 and 1,203.60

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Solution

The fourth proportional to 3,977.64, 5,964.60 and 1,203.60 is: 1,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.64 : 5,964.60 = 1,203.60 : x
  2. Step 2: Convert to fraction form
    3,977.64/5,964.60 = 1,203.60/x
  3. Step 3: Cross multiply
    3,977.64x = 5,964.60 × 1,203.60
  4. Step 4: Simplify right side
    3,977.64x = 7,178,992.56
  5. Step 5: Solve for x
    x = 7,178,992.56/3,977.64
  6. Step 6: Final answer
    x = 1,804.84

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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.