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Finding the Fourth Proportional to 5,659.29, 7,809.89 and 3,141.45

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Solution

The fourth proportional to 5,659.29, 7,809.89 and 3,141.45 is: 4,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.29 : 7,809.89 = 3,141.45 : x
  2. Step 2: Convert to fraction form
    5,659.29/7,809.89 = 3,141.45/x
  3. Step 3: Cross multiply
    5,659.29x = 7,809.89 × 3,141.45
  4. Step 4: Simplify right side
    5,659.29x = 24,534,378.94
  5. Step 5: Solve for x
    x = 24,534,378.94/5,659.29
  6. Step 6: Final answer
    x = 4,335.24

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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.