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Finding the Fourth Proportional to 3,470.96, 4,790.31 and 2,213.17

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Solution

The fourth proportional to 3,470.96, 4,790.31 and 2,213.17 is: 3,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.96 : 4,790.31 = 2,213.17 : x
  2. Step 2: Convert to fraction form
    3,470.96/4,790.31 = 2,213.17/x
  3. Step 3: Cross multiply
    3,470.96x = 4,790.31 × 2,213.17
  4. Step 4: Simplify right side
    3,470.96x = 10,601,750.11
  5. Step 5: Solve for x
    x = 10,601,750.11/3,470.96
  6. Step 6: Final answer
    x = 3,054.41

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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.