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Finding the Fourth Proportional to 4,971.22, 7,456.98 and 2,049.76

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Solution

The fourth proportional to 4,971.22, 7,456.98 and 2,049.76 is: 3,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.22 : 7,456.98 = 2,049.76 : x
  2. Step 2: Convert to fraction form
    4,971.22/7,456.98 = 2,049.76/x
  3. Step 3: Cross multiply
    4,971.22x = 7,456.98 × 2,049.76
  4. Step 4: Simplify right side
    4,971.22x = 15,285,019.32
  5. Step 5: Solve for x
    x = 15,285,019.32/4,971.22
  6. Step 6: Final answer
    x = 3,074.70

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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.