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Finding the Fourth Proportional to 4,723.38, 7,086.33 and 4,206.92

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Solution

The fourth proportional to 4,723.38, 7,086.33 and 4,206.92 is: 6,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.38 : 7,086.33 = 4,206.92 : x
  2. Step 2: Convert to fraction form
    4,723.38/7,086.33 = 4,206.92/x
  3. Step 3: Cross multiply
    4,723.38x = 7,086.33 × 4,206.92
  4. Step 4: Simplify right side
    4,723.38x = 29,811,623.40
  5. Step 5: Solve for x
    x = 29,811,623.40/4,723.38
  6. Step 6: Final answer
    x = 6,311.50

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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.