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Finding the Fourth Proportional to 5,492.34, 8,229.87 and 3,298.32

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Solution

The fourth proportional to 5,492.34, 8,229.87 and 3,298.32 is: 4,942.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.34 : 8,229.87 = 3,298.32 : x
  2. Step 2: Convert to fraction form
    5,492.34/8,229.87 = 3,298.32/x
  3. Step 3: Cross multiply
    5,492.34x = 8,229.87 × 3,298.32
  4. Step 4: Simplify right side
    5,492.34x = 27,144,744.82
  5. Step 5: Solve for x
    x = 27,144,744.82/5,492.34
  6. Step 6: Final answer
    x = 4,942.29

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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.