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Finding the Fourth Proportional to 3,809.86, 5,715.52 and 1,344.40

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Solution

The fourth proportional to 3,809.86, 5,715.52 and 1,344.40 is: 2,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.86 : 5,715.52 = 1,344.40 : x
  2. Step 2: Convert to fraction form
    3,809.86/5,715.52 = 1,344.40/x
  3. Step 3: Cross multiply
    3,809.86x = 5,715.52 × 1,344.40
  4. Step 4: Simplify right side
    3,809.86x = 7,683,945.09
  5. Step 5: Solve for x
    x = 7,683,945.09/3,809.86
  6. Step 6: Final answer
    x = 2,016.86

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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.