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Finding the Fourth Proportional to 6,223.38, 8,579.87 and 4,804.57

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Solution

The fourth proportional to 6,223.38, 8,579.87 and 4,804.57 is: 6,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.38 : 8,579.87 = 4,804.57 : x
  2. Step 2: Convert to fraction form
    6,223.38/8,579.87 = 4,804.57/x
  3. Step 3: Cross multiply
    6,223.38x = 8,579.87 × 4,804.57
  4. Step 4: Simplify right side
    6,223.38x = 41,222,569.49
  5. Step 5: Solve for x
    x = 41,222,569.49/6,223.38
  6. Step 6: Final answer
    x = 6,623.82

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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.