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Finding the Fourth Proportional to 4,659.57, 6,976.94 and 3,921.48

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Solution

The fourth proportional to 4,659.57, 6,976.94 and 3,921.48 is: 5,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.57 : 6,976.94 = 3,921.48 : x
  2. Step 2: Convert to fraction form
    4,659.57/6,976.94 = 3,921.48/x
  3. Step 3: Cross multiply
    4,659.57x = 6,976.94 × 3,921.48
  4. Step 4: Simplify right side
    4,659.57x = 27,359,911.06
  5. Step 5: Solve for x
    x = 27,359,911.06/4,659.57
  6. Step 6: Final answer
    x = 5,871.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.