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Finding the Fourth Proportional to 5,615.40, 7,748.84 and 3,257.09

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Solution

The fourth proportional to 5,615.40, 7,748.84 and 3,257.09 is: 4,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.40 : 7,748.84 = 3,257.09 : x
  2. Step 2: Convert to fraction form
    5,615.40/7,748.84 = 3,257.09/x
  3. Step 3: Cross multiply
    5,615.40x = 7,748.84 × 3,257.09
  4. Step 4: Simplify right side
    5,615.40x = 25,238,636.78
  5. Step 5: Solve for x
    x = 25,238,636.78/5,615.40
  6. Step 6: Final answer
    x = 4,494.54

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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.