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Finding the Fourth Proportional to 5,082.56, 7,621.94 and 1,749.87

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Solution

The fourth proportional to 5,082.56, 7,621.94 and 1,749.87 is: 2,624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.56 : 7,621.94 = 1,749.87 : x
  2. Step 2: Convert to fraction form
    5,082.56/7,621.94 = 1,749.87/x
  3. Step 3: Cross multiply
    5,082.56x = 7,621.94 × 1,749.87
  4. Step 4: Simplify right side
    5,082.56x = 13,337,404.15
  5. Step 5: Solve for x
    x = 13,337,404.15/5,082.56
  6. Step 6: Final answer
    x = 2,624.15

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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.