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Finding the Fourth Proportional to 5,082.28, 7,624.86 and 2,161

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Solution

The fourth proportional to 5,082.28, 7,624.86 and 2,161 is: 3,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.28 : 7,624.86 = 2,161 : x
  2. Step 2: Convert to fraction form
    5,082.28/7,624.86 = 2,161/x
  3. Step 3: Cross multiply
    5,082.28x = 7,624.86 × 2,161
  4. Step 4: Simplify right side
    5,082.28x = 16,477,322.46
  5. Step 5: Solve for x
    x = 16,477,322.46/5,082.28
  6. Step 6: Final answer
    x = 3,242.11

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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.