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Finding the Fourth Proportional to 5,390.09, 8,085.17 and 3,197.63

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Solution

The fourth proportional to 5,390.09, 8,085.17 and 3,197.63 is: 4,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.09 : 8,085.17 = 3,197.63 : x
  2. Step 2: Convert to fraction form
    5,390.09/8,085.17 = 3,197.63/x
  3. Step 3: Cross multiply
    5,390.09x = 8,085.17 × 3,197.63
  4. Step 4: Simplify right side
    5,390.09x = 25,853,346.89
  5. Step 5: Solve for x
    x = 25,853,346.89/5,390.09
  6. Step 6: Final answer
    x = 4,796.46

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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.