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Finding the Fourth Proportional to 5,725.70, 7,902.09 and 3,207.92

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Solution

The fourth proportional to 5,725.70, 7,902.09 and 3,207.92 is: 4,427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.70 : 7,902.09 = 3,207.92 : x
  2. Step 2: Convert to fraction form
    5,725.70/7,902.09 = 3,207.92/x
  3. Step 3: Cross multiply
    5,725.70x = 7,902.09 × 3,207.92
  4. Step 4: Simplify right side
    5,725.70x = 25,349,233.04
  5. Step 5: Solve for x
    x = 25,349,233.04/5,725.70
  6. Step 6: Final answer
    x = 4,427.27

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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.