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Finding the Fourth Proportional to 4,186, 6,274.22 and 2,337.98

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Solution

The fourth proportional to 4,186, 6,274.22 and 2,337.98 is: 3,504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186 : 6,274.22 = 2,337.98 : x
  2. Step 2: Convert to fraction form
    4,186/6,274.22 = 2,337.98/x
  3. Step 3: Cross multiply
    4,186x = 6,274.22 × 2,337.98
  4. Step 4: Simplify right side
    4,186x = 14,669,000.88
  5. Step 5: Solve for x
    x = 14,669,000.88/4,186
  6. Step 6: Final answer
    x = 3,504.30

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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.