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Finding the Fourth Proportional to 3,614.70, 5,422.05 and 3,333.90

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Solution

The fourth proportional to 3,614.70, 5,422.05 and 3,333.90 is: 5,000.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.70 : 5,422.05 = 3,333.90 : x
  2. Step 2: Convert to fraction form
    3,614.70/5,422.05 = 3,333.90/x
  3. Step 3: Cross multiply
    3,614.70x = 5,422.05 × 3,333.90
  4. Step 4: Simplify right side
    3,614.70x = 18,076,572.50
  5. Step 5: Solve for x
    x = 18,076,572.50/3,614.70
  6. Step 6: Final answer
    x = 5,000.85

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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.