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Finding the Fourth Proportional to 4,651.96, 6,964.09 and 3,086.55

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Solution

The fourth proportional to 4,651.96, 6,964.09 and 3,086.55 is: 4,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.96 : 6,964.09 = 3,086.55 : x
  2. Step 2: Convert to fraction form
    4,651.96/6,964.09 = 3,086.55/x
  3. Step 3: Cross multiply
    4,651.96x = 6,964.09 × 3,086.55
  4. Step 4: Simplify right side
    4,651.96x = 21,495,029.40
  5. Step 5: Solve for x
    x = 21,495,029.40/4,651.96
  6. Step 6: Final answer
    x = 4,620.64

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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.