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Finding the Fourth Proportional to 5,116.80, 7,676.16 and 1,654.08

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Solution

The fourth proportional to 5,116.80, 7,676.16 and 1,654.08 is: 2,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.80 : 7,676.16 = 1,654.08 : x
  2. Step 2: Convert to fraction form
    5,116.80/7,676.16 = 1,654.08/x
  3. Step 3: Cross multiply
    5,116.80x = 7,676.16 × 1,654.08
  4. Step 4: Simplify right side
    5,116.80x = 12,696,982.73
  5. Step 5: Solve for x
    x = 12,696,982.73/5,116.80
  6. Step 6: Final answer
    x = 2,481.43

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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.