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Finding the Fourth Proportional to 5,811.69, 8,715.69 and 3,347.67

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Solution

The fourth proportional to 5,811.69, 8,715.69 and 3,347.67 is: 5,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.69 : 8,715.69 = 3,347.67 : x
  2. Step 2: Convert to fraction form
    5,811.69/8,715.69 = 3,347.67/x
  3. Step 3: Cross multiply
    5,811.69x = 8,715.69 × 3,347.67
  4. Step 4: Simplify right side
    5,811.69x = 29,177,253.94
  5. Step 5: Solve for x
    x = 29,177,253.94/5,811.69
  6. Step 6: Final answer
    x = 5,020.44

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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.