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Finding the Fourth Proportional to 4,650.77, 6,416.19 and 2,971.73

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Solution

The fourth proportional to 4,650.77, 6,416.19 and 2,971.73 is: 4,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.77 : 6,416.19 = 2,971.73 : x
  2. Step 2: Convert to fraction form
    4,650.77/6,416.19 = 2,971.73/x
  3. Step 3: Cross multiply
    4,650.77x = 6,416.19 × 2,971.73
  4. Step 4: Simplify right side
    4,650.77x = 19,067,200.35
  5. Step 5: Solve for x
    x = 19,067,200.35/4,650.77
  6. Step 6: Final answer
    x = 4,099.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.