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Finding the Fourth Proportional to 3,470.75, 4,789.97 and 1,899.08

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Solution

The fourth proportional to 3,470.75, 4,789.97 and 1,899.08 is: 2,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.75 : 4,789.97 = 1,899.08 : x
  2. Step 2: Convert to fraction form
    3,470.75/4,789.97 = 1,899.08/x
  3. Step 3: Cross multiply
    3,470.75x = 4,789.97 × 1,899.08
  4. Step 4: Simplify right side
    3,470.75x = 9,096,502.78
  5. Step 5: Solve for x
    x = 9,096,502.78/3,470.75
  6. Step 6: Final answer
    x = 2,620.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.