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Finding the Fourth Proportional to 6,977.59, 9,628.91 and 3,790.80

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Solution

The fourth proportional to 6,977.59, 9,628.91 and 3,790.80 is: 5,231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.59 : 9,628.91 = 3,790.80 : x
  2. Step 2: Convert to fraction form
    6,977.59/9,628.91 = 3,790.80/x
  3. Step 3: Cross multiply
    6,977.59x = 9,628.91 × 3,790.80
  4. Step 4: Simplify right side
    6,977.59x = 36,501,272.03
  5. Step 5: Solve for x
    x = 36,501,272.03/6,977.59
  6. Step 6: Final answer
    x = 5,231.22

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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.