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Finding the Fourth Proportional to 5,463.17, 8,194.69 and 1,567.56

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Solution

The fourth proportional to 5,463.17, 8,194.69 and 1,567.56 is: 2,351.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.17 : 8,194.69 = 1,567.56 : x
  2. Step 2: Convert to fraction form
    5,463.17/8,194.69 = 1,567.56/x
  3. Step 3: Cross multiply
    5,463.17x = 8,194.69 × 1,567.56
  4. Step 4: Simplify right side
    5,463.17x = 12,845,668.26
  5. Step 5: Solve for x
    x = 12,845,668.26/5,463.17
  6. Step 6: Final answer
    x = 2,351.32

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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.