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Finding the Fourth Proportional to 3,470.98, 4,789.96 and 1,899.07

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Solution

The fourth proportional to 3,470.98, 4,789.96 and 1,899.07 is: 2,620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.98 : 4,789.96 = 1,899.07 : x
  2. Step 2: Convert to fraction form
    3,470.98/4,789.96 = 1,899.07/x
  3. Step 3: Cross multiply
    3,470.98x = 4,789.96 × 1,899.07
  4. Step 4: Simplify right side
    3,470.98x = 9,096,471.43
  5. Step 5: Solve for x
    x = 9,096,471.43/3,470.98
  6. Step 6: Final answer
    x = 2,620.72

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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.