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Finding the Fourth Proportional to 3,492.30, 5,234.00 and 1,639.32

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Solution

The fourth proportional to 3,492.30, 5,234.00 and 1,639.32 is: 2,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.30 : 5,234.00 = 1,639.32 : x
  2. Step 2: Convert to fraction form
    3,492.30/5,234.00 = 1,639.32/x
  3. Step 3: Cross multiply
    3,492.30x = 5,234.00 × 1,639.32
  4. Step 4: Simplify right side
    3,492.30x = 8,580,192.68
  5. Step 5: Solve for x
    x = 8,580,192.68/3,492.30
  6. Step 6: Final answer
    x = 2,456.89

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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.