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Finding the Fourth Proportional to 5,712.71, 7,884.28 and 3,194.96

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Solution

The fourth proportional to 5,712.71, 7,884.28 and 3,194.96 is: 4,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.71 : 7,884.28 = 3,194.96 : x
  2. Step 2: Convert to fraction form
    5,712.71/7,884.28 = 3,194.96/x
  3. Step 3: Cross multiply
    5,712.71x = 7,884.28 × 3,194.96
  4. Step 4: Simplify right side
    5,712.71x = 25,189,970.95
  5. Step 5: Solve for x
    x = 25,189,970.95/5,712.71
  6. Step 6: Final answer
    x = 4,409.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.