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Finding the Fourth Proportional to 3,492.89, 4,821.44 and 2,314.34

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Solution

The fourth proportional to 3,492.89, 4,821.44 and 2,314.34 is: 3,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.89 : 4,821.44 = 2,314.34 : x
  2. Step 2: Convert to fraction form
    3,492.89/4,821.44 = 2,314.34/x
  3. Step 3: Cross multiply
    3,492.89x = 4,821.44 × 2,314.34
  4. Step 4: Simplify right side
    3,492.89x = 11,158,451.45
  5. Step 5: Solve for x
    x = 11,158,451.45/3,492.89
  6. Step 6: Final answer
    x = 3,194.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.