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Finding the Fourth Proportional to 3,470.22, 4,785.75 and 2,967.96

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Solution

The fourth proportional to 3,470.22, 4,785.75 and 2,967.96 is: 4,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.22 : 4,785.75 = 2,967.96 : x
  2. Step 2: Convert to fraction form
    3,470.22/4,785.75 = 2,967.96/x
  3. Step 3: Cross multiply
    3,470.22x = 4,785.75 × 2,967.96
  4. Step 4: Simplify right side
    3,470.22x = 14,203,914.57
  5. Step 5: Solve for x
    x = 14,203,914.57/3,470.22
  6. Step 6: Final answer
    x = 4,093.09

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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.