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Finding the Fourth Proportional to 3,605.25, 5,407.87 and 1,414.60

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Solution

The fourth proportional to 3,605.25, 5,407.87 and 1,414.60 is: 2,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.25 : 5,407.87 = 1,414.60 : x
  2. Step 2: Convert to fraction form
    3,605.25/5,407.87 = 1,414.60/x
  3. Step 3: Cross multiply
    3,605.25x = 5,407.87 × 1,414.60
  4. Step 4: Simplify right side
    3,605.25x = 7,649,981.43
  5. Step 5: Solve for x
    x = 7,649,981.43/3,605.25
  6. Step 6: Final answer
    x = 2,121.90

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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.