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Finding the Fourth Proportional to 4,474.38, 6,706.08 and 1,549.29

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Solution

The fourth proportional to 4,474.38, 6,706.08 and 1,549.29 is: 2,322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.38 : 6,706.08 = 1,549.29 : x
  2. Step 2: Convert to fraction form
    4,474.38/6,706.08 = 1,549.29/x
  3. Step 3: Cross multiply
    4,474.38x = 6,706.08 × 1,549.29
  4. Step 4: Simplify right side
    4,474.38x = 10,389,662.68
  5. Step 5: Solve for x
    x = 10,389,662.68/4,474.38
  6. Step 6: Final answer
    x = 2,322.03

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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.