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Finding the Fourth Proportional to 3,513.96, 5,266.62 and 1,563.96

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Solution

The fourth proportional to 3,513.96, 5,266.62 and 1,563.96 is: 2,344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.96 : 5,266.62 = 1,563.96 : x
  2. Step 2: Convert to fraction form
    3,513.96/5,266.62 = 1,563.96/x
  3. Step 3: Cross multiply
    3,513.96x = 5,266.62 × 1,563.96
  4. Step 4: Simplify right side
    3,513.96x = 8,236,783.02
  5. Step 5: Solve for x
    x = 8,236,783.02/3,513.96
  6. Step 6: Final answer
    x = 2,344.02

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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.