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Finding the Fourth Proportional to 5,456.67, 8,184.92 and 1,352.67

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Solution

The fourth proportional to 5,456.67, 8,184.92 and 1,352.67 is: 2,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.67 : 8,184.92 = 1,352.67 : x
  2. Step 2: Convert to fraction form
    5,456.67/8,184.92 = 1,352.67/x
  3. Step 3: Cross multiply
    5,456.67x = 8,184.92 × 1,352.67
  4. Step 4: Simplify right side
    5,456.67x = 11,071,488.97
  5. Step 5: Solve for x
    x = 11,071,488.97/5,456.67
  6. Step 6: Final answer
    x = 2,028.98

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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.