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Finding the Fourth Proportional to 4,890.81, 6,749.93 and 3,213.61

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Solution

The fourth proportional to 4,890.81, 6,749.93 and 3,213.61 is: 4,435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890.81 : 6,749.93 = 3,213.61 : x
  2. Step 2: Convert to fraction form
    4,890.81/6,749.93 = 3,213.61/x
  3. Step 3: Cross multiply
    4,890.81x = 6,749.93 × 3,213.61
  4. Step 4: Simplify right side
    4,890.81x = 21,691,633.71
  5. Step 5: Solve for x
    x = 21,691,633.71/4,890.81
  6. Step 6: Final answer
    x = 4,435.18

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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.