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Finding the Fourth Proportional to 3,986.69, 5,492.88 and 2,974.12

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Solution

The fourth proportional to 3,986.69, 5,492.88 and 2,974.12 is: 4,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.69 : 5,492.88 = 2,974.12 : x
  2. Step 2: Convert to fraction form
    3,986.69/5,492.88 = 2,974.12/x
  3. Step 3: Cross multiply
    3,986.69x = 5,492.88 × 2,974.12
  4. Step 4: Simplify right side
    3,986.69x = 16,336,470.53
  5. Step 5: Solve for x
    x = 16,336,470.53/3,986.69
  6. Step 6: Final answer
    x = 4,097.76

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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.