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Finding the Fourth Proportional to 4,842.34, 7,245.17 and 2,869.02

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Solution

The fourth proportional to 4,842.34, 7,245.17 and 2,869.02 is: 4,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.34 : 7,245.17 = 2,869.02 : x
  2. Step 2: Convert to fraction form
    4,842.34/7,245.17 = 2,869.02/x
  3. Step 3: Cross multiply
    4,842.34x = 7,245.17 × 2,869.02
  4. Step 4: Simplify right side
    4,842.34x = 20,786,571.98
  5. Step 5: Solve for x
    x = 20,786,571.98/4,842.34
  6. Step 6: Final answer
    x = 4,292.67

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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.