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Finding the Fourth Proportional to 5,551.91, 7,661.99 and 3,194

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Solution

The fourth proportional to 5,551.91, 7,661.99 and 3,194 is: 4,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,551.91 : 7,661.99 = 3,194 : x
  2. Step 2: Convert to fraction form
    5,551.91/7,661.99 = 3,194/x
  3. Step 3: Cross multiply
    5,551.91x = 7,661.99 × 3,194
  4. Step 4: Simplify right side
    5,551.91x = 24,472,396.06
  5. Step 5: Solve for x
    x = 24,472,396.06/5,551.91
  6. Step 6: Final answer
    x = 4,407.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.