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Finding the Fourth Proportional to 5,234.77, 7,853.22 and 4,711.97

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Solution

The fourth proportional to 5,234.77, 7,853.22 and 4,711.97 is: 7,068.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.77 : 7,853.22 = 4,711.97 : x
  2. Step 2: Convert to fraction form
    5,234.77/7,853.22 = 4,711.97/x
  3. Step 3: Cross multiply
    5,234.77x = 7,853.22 × 4,711.97
  4. Step 4: Simplify right side
    5,234.77x = 37,004,086.00
  5. Step 5: Solve for x
    x = 37,004,086.00/5,234.77
  6. Step 6: Final answer
    x = 7,068.91

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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.