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Finding the Fourth Proportional to 4,122.90, 6,172.20 and 3,636.90

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Solution

The fourth proportional to 4,122.90, 6,172.20 and 3,636.90 is: 5,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.90 : 6,172.20 = 3,636.90 : x
  2. Step 2: Convert to fraction form
    4,122.90/6,172.20 = 3,636.90/x
  3. Step 3: Cross multiply
    4,122.90x = 6,172.20 × 3,636.90
  4. Step 4: Simplify right side
    4,122.90x = 22,447,674.18
  5. Step 5: Solve for x
    x = 22,447,674.18/4,122.90
  6. Step 6: Final answer
    x = 5,444.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.