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Finding the Fourth Proportional to 5,713.44, 7,884.61 and 3,355.62

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Solution

The fourth proportional to 5,713.44, 7,884.61 and 3,355.62 is: 4,630.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.44 : 7,884.61 = 3,355.62 : x
  2. Step 2: Convert to fraction form
    5,713.44/7,884.61 = 3,355.62/x
  3. Step 3: Cross multiply
    5,713.44x = 7,884.61 × 3,355.62
  4. Step 4: Simplify right side
    5,713.44x = 26,457,746.62
  5. Step 5: Solve for x
    x = 26,457,746.62/5,713.44
  6. Step 6: Final answer
    x = 4,630.79

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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.