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Finding the Fourth Proportional to 3,636.95, 5,454.71 and 1,661.97

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Solution

The fourth proportional to 3,636.95, 5,454.71 and 1,661.97 is: 2,492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.95 : 5,454.71 = 1,661.97 : x
  2. Step 2: Convert to fraction form
    3,636.95/5,454.71 = 1,661.97/x
  3. Step 3: Cross multiply
    3,636.95x = 5,454.71 × 1,661.97
  4. Step 4: Simplify right side
    3,636.95x = 9,065,556.07
  5. Step 5: Solve for x
    x = 9,065,556.07/3,636.95
  6. Step 6: Final answer
    x = 2,492.63

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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.