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Finding the Fourth Proportional to 5,046.72, 6,964.29 and 2,950.80

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Solution

The fourth proportional to 5,046.72, 6,964.29 and 2,950.80 is: 4,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.72 : 6,964.29 = 2,950.80 : x
  2. Step 2: Convert to fraction form
    5,046.72/6,964.29 = 2,950.80/x
  3. Step 3: Cross multiply
    5,046.72x = 6,964.29 × 2,950.80
  4. Step 4: Simplify right side
    5,046.72x = 20,550,226.93
  5. Step 5: Solve for x
    x = 20,550,226.93/5,046.72
  6. Step 6: Final answer
    x = 4,072.00

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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.