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Finding the Fourth Proportional to 4,600.68, 6,348.97 and 2,504.82

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Solution

The fourth proportional to 4,600.68, 6,348.97 and 2,504.82 is: 3,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.68 : 6,348.97 = 2,504.82 : x
  2. Step 2: Convert to fraction form
    4,600.68/6,348.97 = 2,504.82/x
  3. Step 3: Cross multiply
    4,600.68x = 6,348.97 × 2,504.82
  4. Step 4: Simplify right side
    4,600.68x = 15,903,027.04
  5. Step 5: Solve for x
    x = 15,903,027.04/4,600.68
  6. Step 6: Final answer
    x = 3,456.67

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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.