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Finding the Fourth Proportional to 5,725, 7,900.97 and 3,207.70

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Solution

The fourth proportional to 5,725, 7,900.97 and 3,207.70 is: 4,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725 : 7,900.97 = 3,207.70 : x
  2. Step 2: Convert to fraction form
    5,725/7,900.97 = 3,207.70/x
  3. Step 3: Cross multiply
    5,725x = 7,900.97 × 3,207.70
  4. Step 4: Simplify right side
    5,725x = 25,343,941.47
  5. Step 5: Solve for x
    x = 25,343,941.47/5,725
  6. Step 6: Final answer
    x = 4,426.89

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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.