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Finding the Fourth Proportional to 4,002.18, 6,000 and 3,480.96

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Solution

The fourth proportional to 4,002.18, 6,000 and 3,480.96 is: 5,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.18 : 6,000 = 3,480.96 : x
  2. Step 2: Convert to fraction form
    4,002.18/6,000 = 3,480.96/x
  3. Step 3: Cross multiply
    4,002.18x = 6,000 × 3,480.96
  4. Step 4: Simplify right side
    4,002.18x = 20,885,760
  5. Step 5: Solve for x
    x = 20,885,760/4,002.18
  6. Step 6: Final answer
    x = 5,218.60

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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.