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Finding the Fourth Proportional to 5,474.91, 8,207.16 and 1,774.54

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Solution

The fourth proportional to 5,474.91, 8,207.16 and 1,774.54 is: 2,660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.91 : 8,207.16 = 1,774.54 : x
  2. Step 2: Convert to fraction form
    5,474.91/8,207.16 = 1,774.54/x
  3. Step 3: Cross multiply
    5,474.91x = 8,207.16 × 1,774.54
  4. Step 4: Simplify right side
    5,474.91x = 14,563,906.12
  5. Step 5: Solve for x
    x = 14,563,906.12/5,474.91
  6. Step 6: Final answer
    x = 2,660.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.