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Finding the Fourth Proportional to 6,078.24, 8,383.50 and 4,586.22

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Solution

The fourth proportional to 6,078.24, 8,383.50 and 4,586.22 is: 6,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.24 : 8,383.50 = 4,586.22 : x
  2. Step 2: Convert to fraction form
    6,078.24/8,383.50 = 4,586.22/x
  3. Step 3: Cross multiply
    6,078.24x = 8,383.50 × 4,586.22
  4. Step 4: Simplify right side
    6,078.24x = 38,448,575.37
  5. Step 5: Solve for x
    x = 38,448,575.37/6,078.24
  6. Step 6: Final answer
    x = 6,325.61

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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.