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Finding the Fourth Proportional to 5,615.43, 7,748.68 and 3,257.12

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Solution

The fourth proportional to 5,615.43, 7,748.68 and 3,257.12 is: 4,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.43 : 7,748.68 = 3,257.12 : x
  2. Step 2: Convert to fraction form
    5,615.43/7,748.68 = 3,257.12/x
  3. Step 3: Cross multiply
    5,615.43x = 7,748.68 × 3,257.12
  4. Step 4: Simplify right side
    5,615.43x = 25,238,353.09
  5. Step 5: Solve for x
    x = 25,238,353.09/5,615.43
  6. Step 6: Final answer
    x = 4,494.46

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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.