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Finding the Fourth Proportional to 5,725, 7,899.70 and 3,207.24

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Solution

The fourth proportional to 5,725, 7,899.70 and 3,207.24 is: 4,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725 : 7,899.70 = 3,207.24 : x
  2. Step 2: Convert to fraction form
    5,725/7,899.70 = 3,207.24/x
  3. Step 3: Cross multiply
    5,725x = 7,899.70 × 3,207.24
  4. Step 4: Simplify right side
    5,725x = 25,336,233.83
  5. Step 5: Solve for x
    x = 25,336,233.83/5,725
  6. Step 6: Final answer
    x = 4,425.54

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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.