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Finding the Fourth Proportional to 5,257.62, 7,257.33 and 3,269.88

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Solution

The fourth proportional to 5,257.62, 7,257.33 and 3,269.88 is: 4,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.62 : 7,257.33 = 3,269.88 : x
  2. Step 2: Convert to fraction form
    5,257.62/7,257.33 = 3,269.88/x
  3. Step 3: Cross multiply
    5,257.62x = 7,257.33 × 3,269.88
  4. Step 4: Simplify right side
    5,257.62x = 23,730,598.22
  5. Step 5: Solve for x
    x = 23,730,598.22/5,257.62
  6. Step 6: Final answer
    x = 4,513.56

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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.