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Finding the Fourth Proportional to 5,462.95, 8,194.73 and 1,567.25

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Solution

The fourth proportional to 5,462.95, 8,194.73 and 1,567.25 is: 2,350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.95 : 8,194.73 = 1,567.25 : x
  2. Step 2: Convert to fraction form
    5,462.95/8,194.73 = 1,567.25/x
  3. Step 3: Cross multiply
    5,462.95x = 8,194.73 × 1,567.25
  4. Step 4: Simplify right side
    5,462.95x = 12,843,190.59
  5. Step 5: Solve for x
    x = 12,843,190.59/5,462.95
  6. Step 6: Final answer
    x = 2,350.96

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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.