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Finding the Fourth Proportional to 4,992.35, 6,892.38 and 4,438.80

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Solution

The fourth proportional to 4,992.35, 6,892.38 and 4,438.80 is: 6,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.35 : 6,892.38 = 4,438.80 : x
  2. Step 2: Convert to fraction form
    4,992.35/6,892.38 = 4,438.80/x
  3. Step 3: Cross multiply
    4,992.35x = 6,892.38 × 4,438.80
  4. Step 4: Simplify right side
    4,992.35x = 30,593,896.34
  5. Step 5: Solve for x
    x = 30,593,896.34/4,992.35
  6. Step 6: Final answer
    x = 6,128.16

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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.