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Finding the Fourth Proportional to 3,861.63, 5,792.18 and 2,213.01

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Solution

The fourth proportional to 3,861.63, 5,792.18 and 2,213.01 is: 3,319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.63 : 5,792.18 = 2,213.01 : x
  2. Step 2: Convert to fraction form
    3,861.63/5,792.18 = 2,213.01/x
  3. Step 3: Cross multiply
    3,861.63x = 5,792.18 × 2,213.01
  4. Step 4: Simplify right side
    3,861.63x = 12,818,141.20
  5. Step 5: Solve for x
    x = 12,818,141.20/3,861.63
  6. Step 6: Final answer
    x = 3,319.36

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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.