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Finding the Fourth Proportional to 5,198.80, 7,166.14 and 4,769.77

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Solution

The fourth proportional to 5,198.80, 7,166.14 and 4,769.77 is: 6,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.80 : 7,166.14 = 4,769.77 : x
  2. Step 2: Convert to fraction form
    5,198.80/7,166.14 = 4,769.77/x
  3. Step 3: Cross multiply
    5,198.80x = 7,166.14 × 4,769.77
  4. Step 4: Simplify right side
    5,198.80x = 34,180,839.59
  5. Step 5: Solve for x
    x = 34,180,839.59/5,198.80
  6. Step 6: Final answer
    x = 6,574.76

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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.