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Finding the Fourth Proportional to 5,243.40, 7,857.80 and 3,943.36

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Solution

The fourth proportional to 5,243.40, 7,857.80 and 3,943.36 is: 5,909.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.40 : 7,857.80 = 3,943.36 : x
  2. Step 2: Convert to fraction form
    5,243.40/7,857.80 = 3,943.36/x
  3. Step 3: Cross multiply
    5,243.40x = 7,857.80 × 3,943.36
  4. Step 4: Simplify right side
    5,243.40x = 30,986,134.21
  5. Step 5: Solve for x
    x = 30,986,134.21/5,243.40
  6. Step 6: Final answer
    x = 5,909.55

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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.