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Finding the Fourth Proportional to 5,082.10, 7,624 and 1,750.21

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Solution

The fourth proportional to 5,082.10, 7,624 and 1,750.21 is: 2,625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.10 : 7,624 = 1,750.21 : x
  2. Step 2: Convert to fraction form
    5,082.10/7,624 = 1,750.21/x
  3. Step 3: Cross multiply
    5,082.10x = 7,624 × 1,750.21
  4. Step 4: Simplify right side
    5,082.10x = 13,343,620.10
  5. Step 5: Solve for x
    x = 13,343,620.10/5,082.10
  6. Step 6: Final answer
    x = 2,625.61

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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.