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Finding the Fourth Proportional to 5,205.90, 7,188.03 and 3,636.12

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Solution

The fourth proportional to 5,205.90, 7,188.03 and 3,636.12 is: 5,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.90 : 7,188.03 = 3,636.12 : x
  2. Step 2: Convert to fraction form
    5,205.90/7,188.03 = 3,636.12/x
  3. Step 3: Cross multiply
    5,205.90x = 7,188.03 × 3,636.12
  4. Step 4: Simplify right side
    5,205.90x = 26,136,539.64
  5. Step 5: Solve for x
    x = 26,136,539.64/5,205.90
  6. Step 6: Final answer
    x = 5,020.56

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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.