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Finding the Fourth Proportional to 8,981.96, 13,469.70 and 3,785

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Solution

The fourth proportional to 8,981.96, 13,469.70 and 3,785 is: 5,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,981.96 : 13,469.70 = 3,785 : x
  2. Step 2: Convert to fraction form
    8,981.96/13,469.70 = 3,785/x
  3. Step 3: Cross multiply
    8,981.96x = 13,469.70 × 3,785
  4. Step 4: Simplify right side
    8,981.96x = 50,982,814.50
  5. Step 5: Solve for x
    x = 50,982,814.50/8,981.96
  6. Step 6: Final answer
    x = 5,676.13

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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.