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Finding the Fourth Proportional to 8,084, 12,119.44 and 3,638.40

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Solution

The fourth proportional to 8,084, 12,119.44 and 3,638.40 is: 5,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084 : 12,119.44 = 3,638.40 : x
  2. Step 2: Convert to fraction form
    8,084/12,119.44 = 3,638.40/x
  3. Step 3: Cross multiply
    8,084x = 12,119.44 × 3,638.40
  4. Step 4: Simplify right side
    8,084x = 44,095,370.50
  5. Step 5: Solve for x
    x = 44,095,370.50/8,084
  6. Step 6: Final answer
    x = 5,454.65

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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.