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Finding the Fourth Proportional to 5,463.08, 8,194.88 and 1,567.76

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Solution

The fourth proportional to 5,463.08, 8,194.88 and 1,567.76 is: 2,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.08 : 8,194.88 = 1,567.76 : x
  2. Step 2: Convert to fraction form
    5,463.08/8,194.88 = 1,567.76/x
  3. Step 3: Cross multiply
    5,463.08x = 8,194.88 × 1,567.76
  4. Step 4: Simplify right side
    5,463.08x = 12,847,605.07
  5. Step 5: Solve for x
    x = 12,847,605.07/5,463.08
  6. Step 6: Final answer
    x = 2,351.71

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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.