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Finding the Fourth Proportional to 4,806.48, 6,632.79 and 2,682.06

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Solution

The fourth proportional to 4,806.48, 6,632.79 and 2,682.06 is: 3,701.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.48 : 6,632.79 = 2,682.06 : x
  2. Step 2: Convert to fraction form
    4,806.48/6,632.79 = 2,682.06/x
  3. Step 3: Cross multiply
    4,806.48x = 6,632.79 × 2,682.06
  4. Step 4: Simplify right side
    4,806.48x = 17,789,540.75
  5. Step 5: Solve for x
    x = 17,789,540.75/4,806.48
  6. Step 6: Final answer
    x = 3,701.16

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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.