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Finding the Fourth Proportional to 5,546.64, 8,316.72 and 2,082

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Solution

The fourth proportional to 5,546.64, 8,316.72 and 2,082 is: 3,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.64 : 8,316.72 = 2,082 : x
  2. Step 2: Convert to fraction form
    5,546.64/8,316.72 = 2,082/x
  3. Step 3: Cross multiply
    5,546.64x = 8,316.72 × 2,082
  4. Step 4: Simplify right side
    5,546.64x = 17,315,411.04
  5. Step 5: Solve for x
    x = 17,315,411.04/5,546.64
  6. Step 6: Final answer
    x = 3,121.78

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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.