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Finding the Fourth Proportional to 3,242.96, 4,861.88 and 2,892.24

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Solution

The fourth proportional to 3,242.96, 4,861.88 and 2,892.24 is: 4,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.96 : 4,861.88 = 2,892.24 : x
  2. Step 2: Convert to fraction form
    3,242.96/4,861.88 = 2,892.24/x
  3. Step 3: Cross multiply
    3,242.96x = 4,861.88 × 2,892.24
  4. Step 4: Simplify right side
    3,242.96x = 14,061,723.81
  5. Step 5: Solve for x
    x = 14,061,723.81/3,242.96
  6. Step 6: Final answer
    x = 4,336.08

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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.