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Finding the Fourth Proportional to 3,492.91, 5,234.74 and 2,564.12

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Solution

The fourth proportional to 3,492.91, 5,234.74 and 2,564.12 is: 3,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.91 : 5,234.74 = 2,564.12 : x
  2. Step 2: Convert to fraction form
    3,492.91/5,234.74 = 2,564.12/x
  3. Step 3: Cross multiply
    3,492.91x = 5,234.74 × 2,564.12
  4. Step 4: Simplify right side
    3,492.91x = 13,422,508.21
  5. Step 5: Solve for x
    x = 13,422,508.21/3,492.91
  6. Step 6: Final answer
    x = 3,842.79

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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.