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Finding the Fourth Proportional to 5,684.76, 7,845.12 and 3,326.94

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Solution

The fourth proportional to 5,684.76, 7,845.12 and 3,326.94 is: 4,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.76 : 7,845.12 = 3,326.94 : x
  2. Step 2: Convert to fraction form
    5,684.76/7,845.12 = 3,326.94/x
  3. Step 3: Cross multiply
    5,684.76x = 7,845.12 × 3,326.94
  4. Step 4: Simplify right side
    5,684.76x = 26,100,243.53
  5. Step 5: Solve for x
    x = 26,100,243.53/5,684.76
  6. Step 6: Final answer
    x = 4,591.27

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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.