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Finding the Fourth Proportional to 5,659.11, 7,809.58 and 3,141.27

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Solution

The fourth proportional to 5,659.11, 7,809.58 and 3,141.27 is: 4,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.11 : 7,809.58 = 3,141.27 : x
  2. Step 2: Convert to fraction form
    5,659.11/7,809.58 = 3,141.27/x
  3. Step 3: Cross multiply
    5,659.11x = 7,809.58 × 3,141.27
  4. Step 4: Simplify right side
    5,659.11x = 24,531,999.37
  5. Step 5: Solve for x
    x = 24,531,999.37/5,659.11
  6. Step 6: Final answer
    x = 4,334.96

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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.