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Finding the Fourth Proportional to 3,470.38, 4,789.12 and 1,898.48

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Solution

The fourth proportional to 3,470.38, 4,789.12 and 1,898.48 is: 2,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.38 : 4,789.12 = 1,898.48 : x
  2. Step 2: Convert to fraction form
    3,470.38/4,789.12 = 1,898.48/x
  3. Step 3: Cross multiply
    3,470.38x = 4,789.12 × 1,898.48
  4. Step 4: Simplify right side
    3,470.38x = 9,092,048.54
  5. Step 5: Solve for x
    x = 9,092,048.54/3,470.38
  6. Step 6: Final answer
    x = 2,619.90

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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.