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Finding the Fourth Proportional to 4,496.70, 6,207.46 and 3,299.57

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Solution

The fourth proportional to 4,496.70, 6,207.46 and 3,299.57 is: 4,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.70 : 6,207.46 = 3,299.57 : x
  2. Step 2: Convert to fraction form
    4,496.70/6,207.46 = 3,299.57/x
  3. Step 3: Cross multiply
    4,496.70x = 6,207.46 × 3,299.57
  4. Step 4: Simplify right side
    4,496.70x = 20,481,933.89
  5. Step 5: Solve for x
    x = 20,481,933.89/4,496.70
  6. Step 6: Final answer
    x = 4,554.89

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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.