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Finding the Fourth Proportional to 5,713.57, 7,884.78 and 3,355.75

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Solution

The fourth proportional to 5,713.57, 7,884.78 and 3,355.75 is: 4,630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.57 : 7,884.78 = 3,355.75 : x
  2. Step 2: Convert to fraction form
    5,713.57/7,884.78 = 3,355.75/x
  3. Step 3: Cross multiply
    5,713.57x = 7,884.78 × 3,355.75
  4. Step 4: Simplify right side
    5,713.57x = 26,459,311.06
  5. Step 5: Solve for x
    x = 26,459,311.06/5,713.57
  6. Step 6: Final answer
    x = 4,630.96

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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.