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Finding the Fourth Proportional to 4,553.72, 6,830.81 and 2,087.42

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Solution

The fourth proportional to 4,553.72, 6,830.81 and 2,087.42 is: 3,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.72 : 6,830.81 = 2,087.42 : x
  2. Step 2: Convert to fraction form
    4,553.72/6,830.81 = 2,087.42/x
  3. Step 3: Cross multiply
    4,553.72x = 6,830.81 × 2,087.42
  4. Step 4: Simplify right side
    4,553.72x = 14,258,765.20
  5. Step 5: Solve for x
    x = 14,258,765.20/4,553.72
  6. Step 6: Final answer
    x = 3,131.24

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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.