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Finding the Fourth Proportional to 3,492.54, 5,234.19 and 2,563.74

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Solution

The fourth proportional to 3,492.54, 5,234.19 and 2,563.74 is: 3,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.54 : 5,234.19 = 2,563.74 : x
  2. Step 2: Convert to fraction form
    3,492.54/5,234.19 = 2,563.74/x
  3. Step 3: Cross multiply
    3,492.54x = 5,234.19 × 2,563.74
  4. Step 4: Simplify right side
    3,492.54x = 13,419,102.27
  5. Step 5: Solve for x
    x = 13,419,102.27/3,492.54
  6. Step 6: Final answer
    x = 3,842.22

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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.