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Finding the Fourth Proportional to 3,956.24, 5,934.34 and 3,715.67

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Solution

The fourth proportional to 3,956.24, 5,934.34 and 3,715.67 is: 5,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.24 : 5,934.34 = 3,715.67 : x
  2. Step 2: Convert to fraction form
    3,956.24/5,934.34 = 3,715.67/x
  3. Step 3: Cross multiply
    3,956.24x = 5,934.34 × 3,715.67
  4. Step 4: Simplify right side
    3,956.24x = 22,050,049.11
  5. Step 5: Solve for x
    x = 22,050,049.11/3,956.24
  6. Step 6: Final answer
    x = 5,573.49

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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.