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Finding the Fourth Proportional to 5,243.21, 7,863.15 and 1,732.56

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Solution

The fourth proportional to 5,243.21, 7,863.15 and 1,732.56 is: 2,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.21 : 7,863.15 = 1,732.56 : x
  2. Step 2: Convert to fraction form
    5,243.21/7,863.15 = 1,732.56/x
  3. Step 3: Cross multiply
    5,243.21x = 7,863.15 × 1,732.56
  4. Step 4: Simplify right side
    5,243.21x = 13,623,370.50
  5. Step 5: Solve for x
    x = 13,623,370.50/5,243.21
  6. Step 6: Final answer
    x = 2,598.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.