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Finding the Fourth Proportional to 5,134.64, 7,697 and 2,363.22

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Solution

The fourth proportional to 5,134.64, 7,697 and 2,363.22 is: 3,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.64 : 7,697 = 2,363.22 : x
  2. Step 2: Convert to fraction form
    5,134.64/7,697 = 2,363.22/x
  3. Step 3: Cross multiply
    5,134.64x = 7,697 × 2,363.22
  4. Step 4: Simplify right side
    5,134.64x = 18,189,704.34
  5. Step 5: Solve for x
    x = 18,189,704.34/5,134.64
  6. Step 6: Final answer
    x = 3,542.55

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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.