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Finding the Fourth Proportional to 5,154.14, 7,676.92 and 5,046.14

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Solution

The fourth proportional to 5,154.14, 7,676.92 and 5,046.14 is: 7,516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.14 : 7,676.92 = 5,046.14 : x
  2. Step 2: Convert to fraction form
    5,154.14/7,676.92 = 5,046.14/x
  3. Step 3: Cross multiply
    5,154.14x = 7,676.92 × 5,046.14
  4. Step 4: Simplify right side
    5,154.14x = 38,738,813.09
  5. Step 5: Solve for x
    x = 38,738,813.09/5,154.14
  6. Step 6: Final answer
    x = 7,516.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.