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Finding the Fourth Proportional to 6,583.98, 9,086.68 and 3,790.02

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Solution

The fourth proportional to 6,583.98, 9,086.68 and 3,790.02 is: 5,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.98 : 9,086.68 = 3,790.02 : x
  2. Step 2: Convert to fraction form
    6,583.98/9,086.68 = 3,790.02/x
  3. Step 3: Cross multiply
    6,583.98x = 9,086.68 × 3,790.02
  4. Step 4: Simplify right side
    6,583.98x = 34,438,698.93
  5. Step 5: Solve for x
    x = 34,438,698.93/6,583.98
  6. Step 6: Final answer
    x = 5,230.68

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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.