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Finding the Fourth Proportional to 6,584.34, 9,085.90 and 3,600.22

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Solution

The fourth proportional to 6,584.34, 9,085.90 and 3,600.22 is: 4,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.34 : 9,085.90 = 3,600.22 : x
  2. Step 2: Convert to fraction form
    6,584.34/9,085.90 = 3,600.22/x
  3. Step 3: Cross multiply
    6,584.34x = 9,085.90 × 3,600.22
  4. Step 4: Simplify right side
    6,584.34x = 32,711,238.90
  5. Step 5: Solve for x
    x = 32,711,238.90/6,584.34
  6. Step 6: Final answer
    x = 4,968.04

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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.