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Finding the Fourth Proportional to 3,810.42, 5,713.47 and 2,250.63

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Solution

The fourth proportional to 3,810.42, 5,713.47 and 2,250.63 is: 3,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.42 : 5,713.47 = 2,250.63 : x
  2. Step 2: Convert to fraction form
    3,810.42/5,713.47 = 2,250.63/x
  3. Step 3: Cross multiply
    3,810.42x = 5,713.47 × 2,250.63
  4. Step 4: Simplify right side
    3,810.42x = 12,858,906.99
  5. Step 5: Solve for x
    x = 12,858,906.99/3,810.42
  6. Step 6: Final answer
    x = 3,374.67

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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.