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Finding the Fourth Proportional to 5,078.82, 7,616.58 and 1,615.26

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Solution

The fourth proportional to 5,078.82, 7,616.58 and 1,615.26 is: 2,422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.82 : 7,616.58 = 1,615.26 : x
  2. Step 2: Convert to fraction form
    5,078.82/7,616.58 = 1,615.26/x
  3. Step 3: Cross multiply
    5,078.82x = 7,616.58 × 1,615.26
  4. Step 4: Simplify right side
    5,078.82x = 12,302,757.01
  5. Step 5: Solve for x
    x = 12,302,757.01/5,078.82
  6. Step 6: Final answer
    x = 2,422.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.