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Finding the Fourth Proportional to 4,489.51, 6,738.37 and 3,446.13

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Solution

The fourth proportional to 4,489.51, 6,738.37 and 3,446.13 is: 5,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.51 : 6,738.37 = 3,446.13 : x
  2. Step 2: Convert to fraction form
    4,489.51/6,738.37 = 3,446.13/x
  3. Step 3: Cross multiply
    4,489.51x = 6,738.37 × 3,446.13
  4. Step 4: Simplify right side
    4,489.51x = 23,221,318.30
  5. Step 5: Solve for x
    x = 23,221,318.30/4,489.51
  6. Step 6: Final answer
    x = 5,172.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.