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Finding the Fourth Proportional to 3,689.85, 5,086.62 and 2,804.12

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Solution

The fourth proportional to 3,689.85, 5,086.62 and 2,804.12 is: 3,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.85 : 5,086.62 = 2,804.12 : x
  2. Step 2: Convert to fraction form
    3,689.85/5,086.62 = 2,804.12/x
  3. Step 3: Cross multiply
    3,689.85x = 5,086.62 × 2,804.12
  4. Step 4: Simplify right side
    3,689.85x = 14,263,467.44
  5. Step 5: Solve for x
    x = 14,263,467.44/3,689.85
  6. Step 6: Final answer
    x = 3,865.60

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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.