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Finding the Fourth Proportional to 5,492.97, 8,240.25 and 1,794.43

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Solution

The fourth proportional to 5,492.97, 8,240.25 and 1,794.43 is: 2,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.97 : 8,240.25 = 1,794.43 : x
  2. Step 2: Convert to fraction form
    5,492.97/8,240.25 = 1,794.43/x
  3. Step 3: Cross multiply
    5,492.97x = 8,240.25 × 1,794.43
  4. Step 4: Simplify right side
    5,492.97x = 14,786,551.81
  5. Step 5: Solve for x
    x = 14,786,551.81/5,492.97
  6. Step 6: Final answer
    x = 2,691.90

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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.