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Finding the Fourth Proportional to 6,584.40, 9,086.85 and 3,751.29

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Solution

The fourth proportional to 6,584.40, 9,086.85 and 3,751.29 is: 5,177.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.40 : 9,086.85 = 3,751.29 : x
  2. Step 2: Convert to fraction form
    6,584.40/9,086.85 = 3,751.29/x
  3. Step 3: Cross multiply
    6,584.40x = 9,086.85 × 3,751.29
  4. Step 4: Simplify right side
    6,584.40x = 34,087,409.54
  5. Step 5: Solve for x
    x = 34,087,409.54/6,584.40
  6. Step 6: Final answer
    x = 5,177.00

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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.