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Finding the Fourth Proportional to 5,827.20, 8,744 and 2,749.12

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Solution

The fourth proportional to 5,827.20, 8,744 and 2,749.12 is: 4,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.20 : 8,744 = 2,749.12 : x
  2. Step 2: Convert to fraction form
    5,827.20/8,744 = 2,749.12/x
  3. Step 3: Cross multiply
    5,827.20x = 8,744 × 2,749.12
  4. Step 4: Simplify right side
    5,827.20x = 24,038,305.28
  5. Step 5: Solve for x
    x = 24,038,305.28/5,827.20
  6. Step 6: Final answer
    x = 4,125.19

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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.