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Finding the Fourth Proportional to 5,659.67, 7,810.37 and 3,141.81

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Solution

The fourth proportional to 5,659.67, 7,810.37 and 3,141.81 is: 4,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.67 : 7,810.37 = 3,141.81 : x
  2. Step 2: Convert to fraction form
    5,659.67/7,810.37 = 3,141.81/x
  3. Step 3: Cross multiply
    5,659.67x = 7,810.37 × 3,141.81
  4. Step 4: Simplify right side
    5,659.67x = 24,538,682.86
  5. Step 5: Solve for x
    x = 24,538,682.86/5,659.67
  6. Step 6: Final answer
    x = 4,335.71

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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.