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Finding the Fourth Proportional to 3,964.05, 5,470.38 and 2,195.64

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Solution

The fourth proportional to 3,964.05, 5,470.38 and 2,195.64 is: 3,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.05 : 5,470.38 = 2,195.64 : x
  2. Step 2: Convert to fraction form
    3,964.05/5,470.38 = 2,195.64/x
  3. Step 3: Cross multiply
    3,964.05x = 5,470.38 × 2,195.64
  4. Step 4: Simplify right side
    3,964.05x = 12,010,985.14
  5. Step 5: Solve for x
    x = 12,010,985.14/3,964.05
  6. Step 6: Final answer
    x = 3,029.98

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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.