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Finding the Fourth Proportional to 6,584.90, 9,087.54 and 3,751.80

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Solution

The fourth proportional to 6,584.90, 9,087.54 and 3,751.80 is: 5,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.90 : 9,087.54 = 3,751.80 : x
  2. Step 2: Convert to fraction form
    6,584.90/9,087.54 = 3,751.80/x
  3. Step 3: Cross multiply
    6,584.90x = 9,087.54 × 3,751.80
  4. Step 4: Simplify right side
    6,584.90x = 34,094,632.57
  5. Step 5: Solve for x
    x = 34,094,632.57/6,584.90
  6. Step 6: Final answer
    x = 5,177.70

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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.