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Finding the Fourth Proportional to 3,766.32, 5,197.14 and 2,087.46

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Solution

The fourth proportional to 3,766.32, 5,197.14 and 2,087.46 is: 2,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.32 : 5,197.14 = 2,087.46 : x
  2. Step 2: Convert to fraction form
    3,766.32/5,197.14 = 2,087.46/x
  3. Step 3: Cross multiply
    3,766.32x = 5,197.14 × 2,087.46
  4. Step 4: Simplify right side
    3,766.32x = 10,848,821.86
  5. Step 5: Solve for x
    x = 10,848,821.86/3,766.32
  6. Step 6: Final answer
    x = 2,880.48

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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.