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Finding the Fourth Proportional to 5,247.25, 7,861.59 and 4,935.06

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Solution

The fourth proportional to 5,247.25, 7,861.59 and 4,935.06 is: 7,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.25 : 7,861.59 = 4,935.06 : x
  2. Step 2: Convert to fraction form
    5,247.25/7,861.59 = 4,935.06/x
  3. Step 3: Cross multiply
    5,247.25x = 7,861.59 × 4,935.06
  4. Step 4: Simplify right side
    5,247.25x = 38,797,418.35
  5. Step 5: Solve for x
    x = 38,797,418.35/5,247.25
  6. Step 6: Final answer
    x = 7,393.86

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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.