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Finding the Fourth Proportional to 4,644.64, 6,964.56 and 2,669.88

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Solution

The fourth proportional to 4,644.64, 6,964.56 and 2,669.88 is: 4,003.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.64 : 6,964.56 = 2,669.88 : x
  2. Step 2: Convert to fraction form
    4,644.64/6,964.56 = 2,669.88/x
  3. Step 3: Cross multiply
    4,644.64x = 6,964.56 × 2,669.88
  4. Step 4: Simplify right side
    4,644.64x = 18,594,539.45
  5. Step 5: Solve for x
    x = 18,594,539.45/4,644.64
  6. Step 6: Final answer
    x = 4,003.44

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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.