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Finding the Fourth Proportional to 5,138.10, 7,707.69 and 1,674.54

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Solution

The fourth proportional to 5,138.10, 7,707.69 and 1,674.54 is: 2,511.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.10 : 7,707.69 = 1,674.54 : x
  2. Step 2: Convert to fraction form
    5,138.10/7,707.69 = 1,674.54/x
  3. Step 3: Cross multiply
    5,138.10x = 7,707.69 × 1,674.54
  4. Step 4: Simplify right side
    5,138.10x = 12,906,835.21
  5. Step 5: Solve for x
    x = 12,906,835.21/5,138.10
  6. Step 6: Final answer
    x = 2,511.99

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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.