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Finding the Fourth Proportional to 4,806.98, 6,631.11 and 4,176.09

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Solution

The fourth proportional to 4,806.98, 6,631.11 and 4,176.09 is: 5,760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.98 : 6,631.11 = 4,176.09 : x
  2. Step 2: Convert to fraction form
    4,806.98/6,631.11 = 4,176.09/x
  3. Step 3: Cross multiply
    4,806.98x = 6,631.11 × 4,176.09
  4. Step 4: Simplify right side
    4,806.98x = 27,692,112.16
  5. Step 5: Solve for x
    x = 27,692,112.16/4,806.98
  6. Step 6: Final answer
    x = 5,760.82

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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.