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Finding the Fourth Proportional to 3,659.97, 5,051.88 and 3,167.90

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Solution

The fourth proportional to 3,659.97, 5,051.88 and 3,167.90 is: 4,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.97 : 5,051.88 = 3,167.90 : x
  2. Step 2: Convert to fraction form
    3,659.97/5,051.88 = 3,167.90/x
  3. Step 3: Cross multiply
    3,659.97x = 5,051.88 × 3,167.90
  4. Step 4: Simplify right side
    3,659.97x = 16,003,850.65
  5. Step 5: Solve for x
    x = 16,003,850.65/3,659.97
  6. Step 6: Final answer
    x = 4,372.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.