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Finding the Fourth Proportional to 5,812.36, 8,720.52 and 2,523.76

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Solution

The fourth proportional to 5,812.36, 8,720.52 and 2,523.76 is: 3,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.36 : 8,720.52 = 2,523.76 : x
  2. Step 2: Convert to fraction form
    5,812.36/8,720.52 = 2,523.76/x
  3. Step 3: Cross multiply
    5,812.36x = 8,720.52 × 2,523.76
  4. Step 4: Simplify right side
    5,812.36x = 22,008,499.56
  5. Step 5: Solve for x
    x = 22,008,499.56/5,812.36
  6. Step 6: Final answer
    x = 3,786.50

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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.