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Finding the Fourth Proportional to 8,149.92, 12,225 and 2,306.40

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Solution

The fourth proportional to 8,149.92, 12,225 and 2,306.40 is: 3,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.92 : 12,225 = 2,306.40 : x
  2. Step 2: Convert to fraction form
    8,149.92/12,225 = 2,306.40/x
  3. Step 3: Cross multiply
    8,149.92x = 12,225 × 2,306.40
  4. Step 4: Simplify right side
    8,149.92x = 28,195,740
  5. Step 5: Solve for x
    x = 28,195,740/8,149.92
  6. Step 6: Final answer
    x = 3,459.63

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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.