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Finding the Fourth Proportional to 3,656.94, 5,046.31 and 2,063.64

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Solution

The fourth proportional to 3,656.94, 5,046.31 and 2,063.64 is: 2,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.94 : 5,046.31 = 2,063.64 : x
  2. Step 2: Convert to fraction form
    3,656.94/5,046.31 = 2,063.64/x
  3. Step 3: Cross multiply
    3,656.94x = 5,046.31 × 2,063.64
  4. Step 4: Simplify right side
    3,656.94x = 10,413,767.17
  5. Step 5: Solve for x
    x = 10,413,767.17/3,656.94
  6. Step 6: Final answer
    x = 2,847.67

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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.