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Finding the Fourth Proportional to 4,992.98, 6,890.06 and 3,003.14

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Solution

The fourth proportional to 4,992.98, 6,890.06 and 3,003.14 is: 4,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.98 : 6,890.06 = 3,003.14 : x
  2. Step 2: Convert to fraction form
    4,992.98/6,890.06 = 3,003.14/x
  3. Step 3: Cross multiply
    4,992.98x = 6,890.06 × 3,003.14
  4. Step 4: Simplify right side
    4,992.98x = 20,691,814.79
  5. Step 5: Solve for x
    x = 20,691,814.79/4,992.98
  6. Step 6: Final answer
    x = 4,144.18

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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.