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Finding the Fourth Proportional to 3,492.46, 5,238.69 and 1,027.30

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Solution

The fourth proportional to 3,492.46, 5,238.69 and 1,027.30 is: 1,540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.46 : 5,238.69 = 1,027.30 : x
  2. Step 2: Convert to fraction form
    3,492.46/5,238.69 = 1,027.30/x
  3. Step 3: Cross multiply
    3,492.46x = 5,238.69 × 1,027.30
  4. Step 4: Simplify right side
    3,492.46x = 5,381,674.91
  5. Step 5: Solve for x
    x = 5,381,674.91/3,492.46
  6. Step 6: Final answer
    x = 1,540.94

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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.