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Finding the Fourth Proportional to 5,462.45, 8,193.98 and 1,566.75

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Solution

The fourth proportional to 5,462.45, 8,193.98 and 1,566.75 is: 2,350.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.45 : 8,193.98 = 1,566.75 : x
  2. Step 2: Convert to fraction form
    5,462.45/8,193.98 = 1,566.75/x
  3. Step 3: Cross multiply
    5,462.45x = 8,193.98 × 1,566.75
  4. Step 4: Simplify right side
    5,462.45x = 12,837,910.33
  5. Step 5: Solve for x
    x = 12,837,910.33/5,462.45
  6. Step 6: Final answer
    x = 2,350.21

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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.