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Finding the Fourth Proportional to 4,659.72, 6,429.13 and 3,241.82

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Solution

The fourth proportional to 4,659.72, 6,429.13 and 3,241.82 is: 4,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.72 : 6,429.13 = 3,241.82 : x
  2. Step 2: Convert to fraction form
    4,659.72/6,429.13 = 3,241.82/x
  3. Step 3: Cross multiply
    4,659.72x = 6,429.13 × 3,241.82
  4. Step 4: Simplify right side
    4,659.72x = 20,842,033.86
  5. Step 5: Solve for x
    x = 20,842,033.86/4,659.72
  6. Step 6: Final answer
    x = 4,472.81

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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.