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Finding the Fourth Proportional to 3,964.03, 5,470.49 and 2,195.80

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Solution

The fourth proportional to 3,964.03, 5,470.49 and 2,195.80 is: 3,030.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.03 : 5,470.49 = 2,195.80 : x
  2. Step 2: Convert to fraction form
    3,964.03/5,470.49 = 2,195.80/x
  3. Step 3: Cross multiply
    3,964.03x = 5,470.49 × 2,195.80
  4. Step 4: Simplify right side
    3,964.03x = 12,012,077.29
  5. Step 5: Solve for x
    x = 12,012,077.29/3,964.03
  6. Step 6: Final answer
    x = 3,030.27

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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.