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Finding the Fourth Proportional to 6,223.39, 8,586.16 and 3,830.92

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Solution

The fourth proportional to 6,223.39, 8,586.16 and 3,830.92 is: 5,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.39 : 8,586.16 = 3,830.92 : x
  2. Step 2: Convert to fraction form
    6,223.39/8,586.16 = 3,830.92/x
  3. Step 3: Cross multiply
    6,223.39x = 8,586.16 × 3,830.92
  4. Step 4: Simplify right side
    6,223.39x = 32,892,861.02
  5. Step 5: Solve for x
    x = 32,892,861.02/6,223.39
  6. Step 6: Final answer
    x = 5,285.36

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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.