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Finding the Fourth Proportional to 5,046.98, 6,965.22 and 2,923.09

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Solution

The fourth proportional to 5,046.98, 6,965.22 and 2,923.09 is: 4,034.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.98 : 6,965.22 = 2,923.09 : x
  2. Step 2: Convert to fraction form
    5,046.98/6,965.22 = 2,923.09/x
  3. Step 3: Cross multiply
    5,046.98x = 6,965.22 × 2,923.09
  4. Step 4: Simplify right side
    5,046.98x = 20,359,933.81
  5. Step 5: Solve for x
    x = 20,359,933.81/5,046.98
  6. Step 6: Final answer
    x = 4,034.08

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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.