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Finding the Fourth Proportional to 3,810.10, 5,715.14 and 1,213.03

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Solution

The fourth proportional to 3,810.10, 5,715.14 and 1,213.03 is: 1,819.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.10 : 5,715.14 = 1,213.03 : x
  2. Step 2: Convert to fraction form
    3,810.10/5,715.14 = 1,213.03/x
  3. Step 3: Cross multiply
    3,810.10x = 5,715.14 × 1,213.03
  4. Step 4: Simplify right side
    3,810.10x = 6,932,636.27
  5. Step 5: Solve for x
    x = 6,932,636.27/3,810.10
  6. Step 6: Final answer
    x = 1,819.54

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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.