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Finding the Fourth Proportional to 3,809.93, 5,713.31 and 1,343.64

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Solution

The fourth proportional to 3,809.93, 5,713.31 and 1,343.64 is: 2,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.93 : 5,713.31 = 1,343.64 : x
  2. Step 2: Convert to fraction form
    3,809.93/5,713.31 = 1,343.64/x
  3. Step 3: Cross multiply
    3,809.93x = 5,713.31 × 1,343.64
  4. Step 4: Simplify right side
    3,809.93x = 7,676,596.56
  5. Step 5: Solve for x
    x = 7,676,596.56/3,809.93
  6. Step 6: Final answer
    x = 2,014.89

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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.