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Finding the Fourth Proportional to 5,974.30, 8,240.34 and 4,855.24

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Solution

The fourth proportional to 5,974.30, 8,240.34 and 4,855.24 is: 6,696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.30 : 8,240.34 = 4,855.24 : x
  2. Step 2: Convert to fraction form
    5,974.30/8,240.34 = 4,855.24/x
  3. Step 3: Cross multiply
    5,974.30x = 8,240.34 × 4,855.24
  4. Step 4: Simplify right side
    5,974.30x = 40,008,828.38
  5. Step 5: Solve for x
    x = 40,008,828.38/5,974.30
  6. Step 6: Final answer
    x = 6,696.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.