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Finding the Fourth Proportional to 3,470.21, 4,789.27 and 2,212.42

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Solution

The fourth proportional to 3,470.21, 4,789.27 and 2,212.42 is: 3,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.21 : 4,789.27 = 2,212.42 : x
  2. Step 2: Convert to fraction form
    3,470.21/4,789.27 = 2,212.42/x
  3. Step 3: Cross multiply
    3,470.21x = 4,789.27 × 2,212.42
  4. Step 4: Simplify right side
    3,470.21x = 10,595,867.53
  5. Step 5: Solve for x
    x = 10,595,867.53/3,470.21
  6. Step 6: Final answer
    x = 3,053.38

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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.