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Finding the Fourth Proportional to 5,176.56, 7,757.84 and 3,712.50

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Solution

The fourth proportional to 5,176.56, 7,757.84 and 3,712.50 is: 5,563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.56 : 7,757.84 = 3,712.50 : x
  2. Step 2: Convert to fraction form
    5,176.56/7,757.84 = 3,712.50/x
  3. Step 3: Cross multiply
    5,176.56x = 7,757.84 × 3,712.50
  4. Step 4: Simplify right side
    5,176.56x = 28,800,981
  5. Step 5: Solve for x
    x = 28,800,981/5,176.56
  6. Step 6: Final answer
    x = 5,563.73

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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.