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Finding the Fourth Proportional to 4,660.02, 6,991.92 and 4,586.31

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Solution

The fourth proportional to 4,660.02, 6,991.92 and 4,586.31 is: 6,881.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.02 : 6,991.92 = 4,586.31 : x
  2. Step 2: Convert to fraction form
    4,660.02/6,991.92 = 4,586.31/x
  3. Step 3: Cross multiply
    4,660.02x = 6,991.92 × 4,586.31
  4. Step 4: Simplify right side
    4,660.02x = 32,067,112.62
  5. Step 5: Solve for x
    x = 32,067,112.62/4,660.02
  6. Step 6: Final answer
    x = 6,881.33

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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.