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Finding the Fourth Proportional to 4,971.22, 7,456.92 and 4,044.49

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Solution

The fourth proportional to 4,971.22, 7,456.92 and 4,044.49 is: 6,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.22 : 7,456.92 = 4,044.49 : x
  2. Step 2: Convert to fraction form
    4,971.22/7,456.92 = 4,044.49/x
  3. Step 3: Cross multiply
    4,971.22x = 7,456.92 × 4,044.49
  4. Step 4: Simplify right side
    4,971.22x = 30,159,438.37
  5. Step 5: Solve for x
    x = 30,159,438.37/4,971.22
  6. Step 6: Final answer
    x = 6,066.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.