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Finding the Fourth Proportional to 4,954.66, 6,837.66 and 2,964.85

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Solution

The fourth proportional to 4,954.66, 6,837.66 and 2,964.85 is: 4,091.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.66 : 6,837.66 = 2,964.85 : x
  2. Step 2: Convert to fraction form
    4,954.66/6,837.66 = 2,964.85/x
  3. Step 3: Cross multiply
    4,954.66x = 6,837.66 × 2,964.85
  4. Step 4: Simplify right side
    4,954.66x = 20,272,619.16
  5. Step 5: Solve for x
    x = 20,272,619.16/4,954.66
  6. Step 6: Final answer
    x = 4,091.63

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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.