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Finding the Fourth Proportional to 3,964.07, 5,470.30 and 2,195.64

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Solution

The fourth proportional to 3,964.07, 5,470.30 and 2,195.64 is: 3,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.07 : 5,470.30 = 2,195.64 : x
  2. Step 2: Convert to fraction form
    3,964.07/5,470.30 = 2,195.64/x
  3. Step 3: Cross multiply
    3,964.07x = 5,470.30 × 2,195.64
  4. Step 4: Simplify right side
    3,964.07x = 12,010,812.24
  5. Step 5: Solve for x
    x = 12,010,812.24/3,964.07
  6. Step 6: Final answer
    x = 3,029.92

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1.5x scale

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.